diff --git a/CHANGELOG.md b/CHANGELOG.md
index 4bdfe4c..661b986 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -3,6 +3,7 @@
 ## Master (Unreleased)
 
 - Handle unknown HTTP status codes for `RSpecRails/HttpStatus` cop. ([@viralpraxis])
+- Fix a false negative for `RSpecRails/TravelAround` cop when passed as a proc to a travel method. ([@ydah])
 
 ## 2.30.0 (2024-06-12)
 
diff --git a/docs/modules/ROOT/pages/cops_rspecrails.adoc b/docs/modules/ROOT/pages/cops_rspecrails.adoc
index 8559133..07650f9 100644
--- a/docs/modules/ROOT/pages/cops_rspecrails.adoc
+++ b/docs/modules/ROOT/pages/cops_rspecrails.adoc
@@ -456,6 +456,11 @@ around do |example|
   end
 end
 
+# bad
+around do |example|
+  freeze_time(&example)
+end
+
 # good
 before { freeze_time }
 ----
diff --git a/lib/rubocop/cop/rspec_rails/travel_around.rb b/lib/rubocop/cop/rspec_rails/travel_around.rb
index 0fbc6e2..ffdd1f4 100644
--- a/lib/rubocop/cop/rspec_rails/travel_around.rb
+++ b/lib/rubocop/cop/rspec_rails/travel_around.rb
@@ -21,8 +21,14 @@ module RSpecRails
       #     end
       #   end
       #
+      #   # bad
+      #   around do |example|
+      #     freeze_time(&example)
+      #   end
+      #
       #   # good
       #   before { freeze_time }
+      #
       class TravelAround < ::RuboCop::Cop::Base
         extend AutoCorrector
 
@@ -43,6 +49,13 @@ class TravelAround < ::RuboCop::Cop::Base
           )
         PATTERN
 
+        # @!method extract_travel_with_block_pass(node)
+        def_node_search :extract_travel_with_block_pass, <<~PATTERN
+          $(send _ TRAVEL_METHOD_NAMES
+            (block_pass $lvar)
+          )
+        PATTERN
+
         # @!method match_around_each?(node)
         def_node_matcher :match_around_each?, <<~PATTERN
           (block
@@ -52,29 +65,39 @@ class TravelAround < ::RuboCop::Cop::Base
         PATTERN
 
         def on_block(node)
-          run_node = extract_run_in_travel(node)
-          return unless run_node
+          extract_run_in_travel(node) do |run_node|
+            run_in_travel(node, run_node)
+          end
+          extract_travel_with_block_pass(node) do |travel_node, lvar|
+            travel_with_block_pass(travel_node, lvar)
+          end
+        end
+        alias on_numblock on_block
+
+        private
 
+        def run_in_travel(node, run_node)
           around_node = extract_surrounding_around_block(run_node)
           return unless around_node
 
           add_offense(node) do |corrector|
-            autocorrect(corrector, node, run_node, around_node)
+            corrector.replace(node, node.body.source)
+            corrector.insert_before(around_node,
+                                    "before { #{run_node.source} }\n\n")
           end
         end
-        alias on_numblock on_block
 
-        private
+        def travel_with_block_pass(node, lvar)
+          around_node = extract_surrounding_around_block(node)
+          return unless around_node
 
-        def autocorrect(corrector, node, run_node, around_node)
-          corrector.replace(
-            node,
-            node.body.source
-          )
-          corrector.insert_before(
-            around_node,
-            "before { #{run_node.source} }\n\n"
-          )
+          add_offense(node) do |corrector|
+            corrector.replace(node, "#{lvar.name}.run")
+            corrector.insert_before(
+              around_node,
+              "before { #{node.method_name} }\n\n"
+            )
+          end
         end
 
         # @param node [RuboCop::AST::BlockNode]
diff --git a/spec/rubocop/cop/rspec_rails/travel_around_spec.rb b/spec/rubocop/cop/rspec_rails/travel_around_spec.rb
index 52401f3..9a1a41c 100644
--- a/spec/rubocop/cop/rspec_rails/travel_around_spec.rb
+++ b/spec/rubocop/cop/rspec_rails/travel_around_spec.rb
@@ -67,6 +67,35 @@
     end
   end
 
+  context 'with `freeze_time` with `&example` in `around`' do
+    it 'registers offense' do
+      expect_offense(<<~RUBY)
+        around do |example|
+          freeze_time(&example)
+          ^^^^^^^^^^^^^^^^^^^^^ Prefer to travel in `before` rather than `around`.
+        end
+      RUBY
+
+      expect_correction(<<~RUBY)
+        before { freeze_time }
+
+        around do |example|
+          example.run
+        end
+      RUBY
+    end
+  end
+
+  context 'with `freeze_time` with `&example` not in `around`' do
+    it 'registers no offense' do
+      expect_no_offenses(<<~RUBY)
+        examples.each do |example|
+          freeze_time(&example)
+        end
+      RUBY
+    end
+  end
+
   context 'with `freeze_time` in `around(:each)`' do
     it 'registers offense' do
       expect_offense(<<~RUBY)
@@ -113,6 +142,29 @@
     end
   end
 
+  context 'with `freeze_time` with `&example` and another node in `around`' do
+    it 'registers offense' do
+      expect_offense(<<~RUBY)
+        around do |example|
+          foo
+
+          freeze_time(&example)
+          ^^^^^^^^^^^^^^^^^^^^^ Prefer to travel in `before` rather than `around`.
+        end
+      RUBY
+
+      expect_correction(<<~RUBY)
+        before { freeze_time }
+
+        around do |example|
+          foo
+
+          example.run
+        end
+      RUBY
+    end
+  end
+
   context 'with `travel` in `around`' do
     it 'registers offense' do
       expect_offense(<<~RUBY)