diff --git a/lib/cibuildgem/tasks/wrapper.rake b/lib/cibuildgem/tasks/wrapper.rake
index ea6a2d0..5effb7d 100644
--- a/lib/cibuildgem/tasks/wrapper.rake
+++ b/lib/cibuildgem/tasks/wrapper.rake
@@ -12,11 +12,9 @@ task "cibuildgem:setup" do
 end
 
 task "copy:stage:lib" do
-  version = RUBY_VERSION.match(/(\d\.\d)/)[1]
-  dest = File.join(task.extension_task.lib_dir, version)
-  src = File.join("tmp", task.extension_task.cross_platform, "stage", dest)
+  src = File.join("tmp", task.extension_task.cross_platform, "stage")
 
-  cp_r(src, dest, remove_destination: true)
+  cp_r(Dir.glob("#{src}/*"), ".", remove_destination: true)
 end
 
 unless Rake::Task.task_defined?(:test)
diff --git a/test/fixtures/date/Rakefile b/test/fixtures/date/Rakefile
index a68b370..68a1844 100644
--- a/test/fixtures/date/Rakefile
+++ b/test/fixtures/date/Rakefile
@@ -8,7 +8,7 @@ CLEAN.include("**/*.o", "**/*.so", "**/*.bundle", "*.jar", "pkg", "tmp")
 
 extask = Rake::ExtensionTask.new("date") do |ext|
   ext.name = "date_core"
-  ext.lib_dir.sub!(%r[(?=/|\z)], "/#{RUBY_VERSION}/#{ext.platform}")
+  ext.lib_dir.sub!(%r[(?=/|\z)], "/#{ext.platform}")
 end
 
 Rake::TestTask.new(:test) do |t|