diff --git a/integration/apps/rails-seven/Gemfile b/integration/apps/rails-seven/Gemfile
index d28e118b82c..129193bcb71 100644
--- a/integration/apps/rails-seven/Gemfile
+++ b/integration/apps/rails-seven/Gemfile
@@ -49,3 +49,14 @@ end
 # Gems no longer included in Ruby 3.4
 gem 'bigdecimal'
 gem 'mutex_m'
+
+# concurrent-ruby 1.3.5 removed dependency on logger, see:
+# https://github.com/ruby-concurrency/concurrent-ruby/commit/d7ce956dacd0b772273d39b8ed31a30cff7ecf38
+# Unfortunately this broke Rails because ActiveSupport used Logger
+# before requiring logger.
+# Since the failure happens rather early in rails bootstrapping,
+# patching it is difficult, thus downgrade concurrent-ruby.
+# The issue is fixed in 7-0-stable and should be shipped in the release
+# after 7.0.8.7, at which point the pin of concurrent-ruby should be removed.
+# See https://github.com/rails/rails/issues/54263
+gem 'concurrent-ruby', '1.3.4'
diff --git a/integration/apps/rails-six/Gemfile b/integration/apps/rails-six/Gemfile
index 7056563881a..226f27293ec 100644
--- a/integration/apps/rails-six/Gemfile
+++ b/integration/apps/rails-six/Gemfile
@@ -105,3 +105,13 @@ end
 
 # Gem no longer included in Ruby 3.4
 gem 'mutex_m'
+
+# concurrent-ruby 1.3.5 removed dependency on logger, see:
+# https://github.com/ruby-concurrency/concurrent-ruby/commit/d7ce956dacd0b772273d39b8ed31a30cff7ecf38
+# Unfortunately this broke Rails because ActiveSupport used Logger
+# before requiring logger.
+# Since the failure happens rather early in rails bootstrapping,
+# patching it is difficult, thus downgrade concurrent-ruby.
+# The issue affects Rails 6.1 where apparently it will be never fixed
+# (unlike Rails 7.0 which is fixed in https://github.com/rails/rails/issues/54263).
+gem 'concurrent-ruby', '1.3.4'