diff --git a/CHANGELOG.md b/CHANGELOG.md
index b1075917dc6..90ff270650c 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -13,6 +13,7 @@
 * [#8801](https://github.com/rubocop-hq/rubocop/issues/8801): Fix `Layout/SpaceAroundEqualsInParameterDefault` only registered once in a line. ([@rdunlop][])
 * [#8514](https://github.com/rubocop-hq/rubocop/issues/8514): Correct multiple `Style/MethodDefParentheses` per file. ([@rdunlop][])
 * [#8825](https://github.com/rubocop-hq/rubocop/issues/8825): Fix crash in `Style/ExplicitBlockArgument` when code is called outside of a method. ([@ghiculescu][])
+* [#8354](https://github.com/rubocop-hq/rubocop/issues/8354): Detect regexp named captures in `Style/CaseLikeIf` cop. ([@dsavochkin][])
 
 ### Changes
 
diff --git a/lib/rubocop/cop/style/case_like_if.rb b/lib/rubocop/cop/style/case_like_if.rb
index 2f9259763b2..094dca81d18 100644
--- a/lib/rubocop/cop/style/case_like_if.rb
+++ b/lib/rubocop/cop/style/case_like_if.rb
@@ -42,6 +42,8 @@ def on_if(node)
           convertible = true
 
           branch_conditions(node).each do |branch_condition|
+            return false if regexp_with_working_captures?(branch_condition)
+
             conditions << []
             convertible = collect_conditions(branch_condition, target, conditions.last)
             break unless convertible
@@ -49,9 +51,7 @@ def on_if(node)
 
           return unless convertible
 
-          add_offense(node) do |corrector|
-            autocorrect(corrector, node)
-          end
+          add_offense(node) { |corrector| autocorrect(corrector, node) }
         end
 
         private
@@ -107,7 +107,7 @@ def find_target_in_send_node(node)
           when :include?, :cover?
             receiver = deparenthesize(node.receiver)
             node.arguments.first if receiver.range_type?
-          when :match, :match?
+          when :match, :match?, :=~
             find_target_in_match_node(node)
           end
         end
@@ -230,6 +230,22 @@ def correction_range(node)
         def indent(node)
           ' ' * node.loc.column
         end
+
+        # Named captures work with `=~` (if regexp is on lhs) and with `match` (both sides)
+        def regexp_with_working_captures?(node)
+          case node.type
+          when :match_with_lvasgn
+            lhs, _rhs = *node
+            node.loc.selector.source == '=~' && regexp_with_named_captures?(lhs)
+          when :send
+            lhs, method, rhs = *node
+            method == :match && [lhs, rhs].any? { |n| regexp_with_named_captures?(n) }
+          end
+        end
+
+        def regexp_with_named_captures?(node)
+          node.regexp_type? && node.each_capture(named: true).count.positive?
+        end
       end
     end
   end
diff --git a/spec/rubocop/cop/style/case_like_if_spec.rb b/spec/rubocop/cop/style/case_like_if_spec.rb
index 00c2a23e0ee..8c0461f842a 100644
--- a/spec/rubocop/cop/style/case_like_if_spec.rb
+++ b/spec/rubocop/cop/style/case_like_if_spec.rb
@@ -344,4 +344,78 @@
       end
     RUBY
   end
+
+  context 'when using regexp with named captures' do
+    it 'does not register an offense with =~ and regexp on lhs' do
+      expect_no_offenses(<<~RUBY)
+        if /(?<name>.*)/ =~ foo
+        elsif foo == 123
+        end
+      RUBY
+    end
+
+    it 'registers and corrects an offense with =~ and regexp on rhs' do
+      expect_offense(<<~RUBY)
+        if foo =~ /(?<name>.*)/
+        ^^^^^^^^^^^^^^^^^^^^^^^ Convert `if-elsif` to `case-when`.
+        elsif foo == 123
+        end
+      RUBY
+
+      expect_correction(<<~RUBY)
+        case foo
+        when /(?<name>.*)/
+        when 123
+        end
+      RUBY
+    end
+
+    it 'does not register an offense with match and regexp on lhs' do
+      expect_no_offenses(<<~RUBY)
+        if /(?<name>.*)/.match(foo)
+        elsif foo == 123
+        end
+      RUBY
+    end
+
+    it 'does not register an offense with match and regexp on rhs' do
+      expect_no_offenses(<<~RUBY)
+        if foo.match(/(?<name>.*)/)
+        elsif foo == 123
+        end
+      RUBY
+    end
+
+    it 'registers and corrects an offense with match? and regexp on lhs' do
+      expect_offense(<<~RUBY)
+        if /(?<name>.*)/.match?(foo)
+        ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Convert `if-elsif` to `case-when`.
+        elsif foo == 123
+        end
+      RUBY
+
+      expect_correction(<<~RUBY)
+        case foo
+        when /(?<name>.*)/
+        when 123
+        end
+      RUBY
+    end
+
+    it 'registers and corrects an offense with match? and regexp on rhs' do
+      expect_offense(<<~RUBY)
+        if foo.match?(/(?<name>.*)/)
+        ^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Convert `if-elsif` to `case-when`.
+        elsif foo == 123
+        end
+      RUBY
+
+      expect_correction(<<~RUBY)
+        case foo
+        when /(?<name>.*)/
+        when 123
+        end
+      RUBY
+    end
+  end
 end