diff --git a/changelog/fix_a_false_negative_for_lint_redundant_cop_disable_directive.md b/changelog/fix_a_false_negative_for_lint_redundant_cop_disable_directive.md
new file mode 100644
index 00000000000..ed7ae581a88
--- /dev/null
+++ b/changelog/fix_a_false_negative_for_lint_redundant_cop_disable_directive.md
@@ -0,0 +1 @@
+* [#11204](https://github.com/rubocop/rubocop/issues/11204): Fix a false negative for `Lint/RedundantCopDisableDirective` when using `--except` command line option. ([@koic][])
diff --git a/lib/rubocop/runner.rb b/lib/rubocop/runner.rb
index 24bd4cf36ce..be69b220df3 100644
--- a/lib/rubocop/runner.rb
+++ b/lib/rubocop/runner.rb
@@ -27,6 +27,11 @@ def initialize(path, offenses_by_iteration, loop_start: -1)
     # @api private
     MAX_ITERATIONS = 200
 
+    # @api private
+    REDUNDANT_COP_DISABLE_DIRECTIVE_RULES = %w[
+      Lint/RedundantCopDisableDirective RedundantCopDisableDirective Lint
+    ].freeze
+
     attr_reader :errors, :warnings
     attr_writer :aborting
 
@@ -194,7 +199,9 @@ def team_for_redundant_disables(file, offenses, source)
     end
 
     def check_for_redundant_disables?(source)
-      !source.disabled_line_ranges.empty? && !filtered_run?
+      return false if source.disabled_line_ranges.empty? || except_redundant_cop_disable_directive?
+
+      !@options[:only]
     end
 
     def redundant_cop_disable_directive(file)
@@ -205,8 +212,8 @@ def redundant_cop_disable_directive(file)
       yield cop if cop.relevant_file?(file)
     end
 
-    def filtered_run?
-      @options[:except] || @options[:only]
+    def except_redundant_cop_disable_directive?
+      @options[:except] && (@options[:except] & REDUNDANT_COP_DISABLE_DIRECTIVE_RULES).any?
     end
 
     def file_started(file)
diff --git a/spec/rubocop/cli/options_spec.rb b/spec/rubocop/cli/options_spec.rb
index a9c0840584d..1dfc282ea50 100644
--- a/spec/rubocop/cli/options_spec.rb
+++ b/spec/rubocop/cli/options_spec.rb
@@ -916,27 +916,50 @@ def on_send(node)
       end
     end
 
-    context 'when one cop plus one namespace are given' do
+    context 'when two cop plus one namespace are given' do
       it 'runs all cops except the given' do
         # The disable comment should not be reported as unnecessary (even if
         # it is) since --except overrides configuration.
         create_file('example.rb', ['# rubocop:disable LineLength', 'if x== 0 ', "\ty = 3", 'end'])
         expect(cli.run(['--format', 'offenses',
-                        '--except', 'Style/IfUnlessModifier,Lint',
+                        '--except', 'Style/IfUnlessModifier,Lint/UselessAssignment,Layout',
                         'example.rb'])).to eq(1)
         # NOTE: No Lint/UselessAssignment offense.
         expect($stdout.string)
           .to eq(<<~RESULT)
 
+            1  Lint/MissingCopEnableDirective
+            1  Lint/RedundantCopDisableDirective
+            1  Migration/DepartmentName
+            1  Style/FrozenStringLiteralComment
+            1  Style/NumericPredicate
+            --
+            5  Total in 1 files
+
+          RESULT
+      end
+    end
+
+    context 'when one cop plus `Lint/RedundantCopDisableDirective` are given' do
+      it 'runs all cops except the given' do
+        create_file('example.rb', ['# rubocop:disable LineLength', 'if x== 0 ', "\ty = 3", 'end'])
+        expect(cli.run(['--format', 'offenses',
+                        '--except', 'Style/IfUnlessModifier,Lint/RedundantCopDisableDirective',
+                        'example.rb'])).to eq(1)
+        expect($stdout.string)
+          .to eq(<<~RESULT)
+
             1  Layout/IndentationStyle
             1  Layout/IndentationWidth
             1  Layout/SpaceAroundOperators
             1  Layout/TrailingWhitespace
+            1  Lint/MissingCopEnableDirective
+            1  Lint/UselessAssignment
             1  Migration/DepartmentName
             1  Style/FrozenStringLiteralComment
             1  Style/NumericPredicate
             --
-            7  Total in 1 files
+            9  Total in 1 files
 
           RESULT
       end