diff --git a/.rubocop/cop/zammad/have_no_over_not_to.rb b/.rubocop/cop/zammad/have_no_over_not_to.rb
new file mode 100644
index 000000000..c409867ff
--- /dev/null
+++ b/.rubocop/cop/zammad/have_no_over_not_to.rb
@@ -0,0 +1,62 @@
+require 'capybara/rspec/matchers'
+
+module RuboCop
+  module Cop
+    module Zammad
+      # This cop is used to identify usages of `have_*` RSpec matcher together with `not_to`.
+      # `have_no_*` with `to` is preferred
+      #
+      # @example
+      #   # bad
+      #   expect(page).not_to have_css('#elem')
+      #
+      #   # good
+      #   expect(page).to have_no_css('#elem')
+      class HaveNoOverNotTo < Base
+        extend AutoCorrector
+
+        MSG = 'Prefer `.to %<replacement>s` over `.not_to %<original>s`.'.freeze
+
+        def_node_matcher :on_have_not_no, '(send (send nil? :expect ...) :not_to (send nil? #matcher_to_replace? ...))'
+
+        def matcher_to_replace?(matcher_name)
+          have_not_no?(matcher_name) && capybara_matcher?(matcher_name)
+        end
+
+        def have_not_no?(matcher_name)
+          matcher_name.match?(/^have_(?!no)/)
+        end
+
+        def capybara_matcher?(matcher_name)
+          Capybara::RSpecMatchers.instance_methods.include?(matcher_name)
+        end
+
+        def on_send(node)
+          on_have_not_no(node) do
+            add_offense(node, message: message(node)) do |corrector|
+              corrector.replace(original_matcher_node(node).loc.selector, alternative_matcher(node))
+              corrector.replace(node.loc.selector, 'to')
+            end
+          end
+        end
+
+        def original_matcher_node(node)
+          node.children[2]
+        end
+
+        def original_matcher(node)
+          original_matcher_node(node).method_name
+        end
+
+        def alternative_matcher(node)
+          original_matcher(node).to_s.sub 'have_', 'have_no_'
+        end
+
+        def message(node)
+          message = format(MSG, replacement: alternative_matcher(node), original: original_matcher(node))
+        end
+      end
+    end
+  end
+end
+
diff --git a/.rubocop/rubocop_zammad.rb b/.rubocop/rubocop_zammad.rb
index fdf882167..630678c27 100644
--- a/.rubocop/rubocop_zammad.rb
+++ b/.rubocop/rubocop_zammad.rb
@@ -1,3 +1,4 @@
 require_relative 'cop/zammad/exists_condition'
+require_relative 'cop/zammad/have_no_over_not_to'
 require_relative 'cop/zammad/no_to_sym_on_string'
 require_relative 'cop/zammad/prefer_negated_if_over_unless'
diff --git a/spec/system/channels/email_spec.rb b/spec/system/channels/email_spec.rb
index 7d85d0a25..7ea680f12 100644
--- a/spec/system/channels/email_spec.rb
+++ b/spec/system/channels/email_spec.rb
@@ -16,7 +16,7 @@ RSpec.describe 'Manage > Channels > Email', type: :system do
       expect(page).to have_css('#c-account h3', text: 'Inbound')
       expect(page).to have_css('#c-account h3', text: 'Outbound')
 
-      expect(page).not_to have_css('.js-editInbound, .js-editOutbound', text: 'Edit')
+      expect(page).to have_no_css('.js-editInbound, .js-editOutbound', text: 'Edit')
     end
   end
 end
diff --git a/spec/system/knowledge_base_public/guest_spec.rb b/spec/system/knowledge_base_public/guest_spec.rb
index 11ba9845b..6922ba3b2 100644
--- a/spec/system/knowledge_base_public/guest_spec.rb
+++ b/spec/system/knowledge_base_public/guest_spec.rb
@@ -23,7 +23,7 @@ RSpec.describe 'Public Knowledge Base for guest', type: :system, authenticated_a
 
     it 'does not show answer' do
       within '.main' do
-        expect(page).not_to have_selector(:link_containing, published_answer.translation.title)
+        expect(page).to have_no_selector(:link_containing, published_answer.translation.title)
       end
     end
   end
@@ -41,13 +41,13 @@ RSpec.describe 'Public Knowledge Base for guest', type: :system, authenticated_a
 
     it 'does not show draft answer' do
       within '.main' do
-        expect(page).not_to have_selector(:link_containing, draft_answer.translation.title)
+        expect(page).to have_no_selector(:link_containing, draft_answer.translation.title)
       end
     end
 
     it 'does not show internal answer' do
       within '.main' do
-        expect(page).not_to have_selector(:link_containing, internal_answer.translation.title)
+        expect(page).to have_no_selector(:link_containing, internal_answer.translation.title)
       end
     end
 
@@ -93,7 +93,7 @@ RSpec.describe 'Public Knowledge Base for guest', type: :system, authenticated_a
 
     it { expect(page).to have_text(published_answer.translation_primary.title) }
     it { expect(page).to have_text('only available in these languages') }
-    it { expect(page).not_to have_selector('h1', text: published_answer.translation_primary.title) }
+    it { expect(page).to have_no_selector('h1', text: published_answer.translation_primary.title) }
 
     context 'follow primary locale' do
       before { click_on published_answer.translation_primary.title }
diff --git a/spec/system/knowledge_base_public/menu_items_spec.rb b/spec/system/knowledge_base_public/menu_items_spec.rb
index 6e9f17981..73670a0d1 100644
--- a/spec/system/knowledge_base_public/menu_items_spec.rb
+++ b/spec/system/knowledge_base_public/menu_items_spec.rb
@@ -19,7 +19,7 @@ RSpec.describe 'Public Knowledge Base menu items', type: :system, authenticated_
   end
 
   it "doesn't show footer link in header" do
-    expect(page).not_to have_css('header .menu-item', text: menu_item_3.title)
+    expect(page).to have_no_css('header .menu-item', text: menu_item_3.title)
   end
 
   it 'shows footer public link' do
@@ -27,7 +27,7 @@ RSpec.describe 'Public Knowledge Base menu items', type: :system, authenticated_
   end
 
   it "doesn't show footer link of another locale" do
-    expect(page).not_to have_css('footer .menu-item', text: menu_item_4.title)
+    expect(page).to have_no_css('footer .menu-item', text: menu_item_4.title)
   end
 
   it 'shows public links in given order' do
diff --git a/spec/system/login/message_spec.rb b/spec/system/login/message_spec.rb
index 7b8661cb7..e504aa7c8 100644
--- a/spec/system/login/message_spec.rb
+++ b/spec/system/login/message_spec.rb
@@ -39,7 +39,7 @@ RSpec.describe 'Login Message', type: :system, authenticated_as: false do
       it 'does not show message' do
         open_login_page
 
-        expect(page).not_to have_text(message)
+        expect(page).to have_no_text(message)
       end
 
       it 'shows message on the go' do
diff --git a/spec/system/profile/devices_spec.rb b/spec/system/profile/devices_spec.rb
index 839120b64..bb0336247 100644
--- a/spec/system/profile/devices_spec.rb
+++ b/spec/system/profile/devices_spec.rb
@@ -13,6 +13,6 @@ RSpec.describe 'Profile > Devices', type: :system, authenticated_as: true do
         .click
     end
 
-    wait(5).until { expect(page).to have_no_css('td', text: device.name) }
+    expect(page).to have_no_css('td', text: device.name)
   end
 end
diff --git a/spec/system/ticket/create_spec.rb b/spec/system/ticket/create_spec.rb
index 70f773341..1378d1057 100644
--- a/spec/system/ticket/create_spec.rb
+++ b/spec/system/ticket/create_spec.rb
@@ -14,7 +14,7 @@ RSpec.describe 'Ticket Create', type: :system do
       visit 'ticket/create'
 
       use_template(template)
-      expect(page).not_to have_selector 'select[name="group_id"]'
+      expect(page).to have_no_selector 'select[name="group_id"]'
     end
   end
 
@@ -38,16 +38,16 @@ RSpec.describe 'Ticket Create', type: :system do
         within(:active_content) do
           use_template(template)
 
-          expect(page).not_to have_css('div.js-securityEncrypt.btn--active', wait: 5)
-          expect(page).not_to have_css('div.js-securitySign.btn--active', wait: 5)
+          expect(page).to have_no_css('div.js-securityEncrypt.btn--active')
+          expect(page).to have_no_css('div.js-securitySign.btn--active')
           click '.js-submit'
 
           expect(page).to have_css('.ticket-article-item', count: 1)
 
           open_article_meta
 
-          expect(page).not_to have_css('span', text: 'Signed')
-          expect(page).not_to have_css('span', text: 'Encrypted')
+          expect(page).to have_no_css('span', text: 'Signed')
+          expect(page).to have_no_css('span', text: 'Encrypted')
 
           security_result = Ticket::Article.last.preferences['security']
           expect(security_result['encryption']['success']).to be nil
@@ -99,8 +99,8 @@ RSpec.describe 'Ticket Create', type: :system do
 
             open_article_meta
 
-            expect(page).not_to have_css('span', text: 'Signed')
-            expect(page).not_to have_css('span', text: 'Encrypted')
+            expect(page).to have_no_css('span', text: 'Signed')
+            expect(page).to have_no_css('span', text: 'Encrypted')
 
             security_result = Ticket::Article.last.preferences['security']
             expect(security_result['encryption']['success']).to be nil
@@ -128,7 +128,7 @@ RSpec.describe 'Ticket Create', type: :system do
             open_article_meta
 
             expect(page).to have_css('span', text: 'Signed')
-            expect(page).not_to have_css('span', text: 'Encrypted')
+            expect(page).to have_no_css('span', text: 'Encrypted')
 
             security_result = Ticket::Article.last.preferences['security']
             expect(security_result['encryption']['success']).to be nil
@@ -155,7 +155,7 @@ RSpec.describe 'Ticket Create', type: :system do
 
             open_article_meta
 
-            expect(page).not_to have_css('span', text: 'Signed')
+            expect(page).to have_no_css('span', text: 'Signed')
             expect(page).to have_css('span', text: 'Encrypted')
 
             security_result = Ticket::Article.last.preferences['security']
diff --git a/spec/system/ticket/update_spec.rb b/spec/system/ticket/update_spec.rb
index f3d7016db..62f738403 100644
--- a/spec/system/ticket/update_spec.rb
+++ b/spec/system/ticket/update_spec.rb
@@ -105,7 +105,7 @@ RSpec.describe 'Ticket Update', type: :system do
 
           click('.js-openDropdownMacro')
           click(".js-dropdownActionMacro[data-id=\"#{macro.id}\"]")
-          expect(page).not_to have_css('.js-submitDropdown .js-submit[disabled]', wait: 2)
+          expect(page).to have_no_css('.js-submitDropdown .js-submit[disabled]')
         end
 
         expect(page).to have_field(attribute.name, with: attribute_value, visible: :hidden)
@@ -150,7 +150,7 @@ RSpec.describe 'Ticket Update', type: :system do
 
           click('.js-openDropdownMacro')
           click(".js-dropdownActionMacro[data-id=\"#{macro.id}\"]")
-          expect(page).not_to have_css('.js-submitDropdown .js-submit[disabled]', wait: 2)
+          expect(page).to have_no_css('.js-submitDropdown .js-submit[disabled]')
         end
 
         expect(page).to have_selector('.content.active .article-content', text: 'test body')
diff --git a/spec/system/ticket/zoom_spec.rb b/spec/system/ticket/zoom_spec.rb
index 9a5814946..bdca01829 100644
--- a/spec/system/ticket/zoom_spec.rb
+++ b/spec/system/ticket/zoom_spec.rb
@@ -194,7 +194,7 @@ RSpec.describe 'Ticket zoom', type: :system do
 
           # wait till input box expands completely
           find('.attachmentPlaceholder-label').in_fixed_position
-          expect(page).not_to have_css('.attachmentPlaceholder-hint', wait: 0)
+          expect(page).to have_no_css('.attachmentPlaceholder-hint')
 
           find('.articleNewEdit-body').send_keys('Some reply')
           click '.js-submit'
@@ -534,7 +534,7 @@ RSpec.describe 'Ticket zoom', type: :system do
           create(:smime_certificate, :with_private, fixture: system_email_address)
 
           visit "#ticket/zoom/#{ticket.id}"
-          expect(page).not_to have_css('.article-content', text: 'somebody with some text')
+          expect(page).to have_no_css('.article-content', text: 'somebody with some text')
           click '.js-securityRetryProcess'
           expect(page).to have_css('.article-content', text: 'somebody with some text')
         end
@@ -911,9 +911,9 @@ RSpec.describe 'Ticket zoom', type: :system do
         refresh # refresh to have assets generated for ticket
 
         expect(page).to have_select('state_id', options: %w[new open closed])
-        expect(page).not_to have_select('priority_id')
-        expect(page).not_to have_select('owner_id')
-        expect(page).not_to have_css('div.tabsSidebar-tab[data-tab=customer]')
+        expect(page).to have_no_select('priority_id')
+        expect(page).to have_no_select('owner_id')
+        expect(page).to have_no_css('div.tabsSidebar-tab[data-tab=customer]')
       end
     end