diff --git a/actionpack/lib/action_dispatch/middleware/body_proxy.rb b/actionpack/lib/action_dispatch/middleware/body_proxy.rb
index 867afe3b48c1a..739b9e427aa9f 100644
--- a/actionpack/lib/action_dispatch/middleware/body_proxy.rb
+++ b/actionpack/lib/action_dispatch/middleware/body_proxy.rb
@@ -12,9 +12,11 @@ def respond_to?(*args)
     def close
       return if @closed
       @closed = true
-      @body.close if @body.respond_to? :close
-    ensure
-      @block.call
+      begin
+        @body.close if @body.respond_to? :close
+      ensure
+        @block.call
+      end
     end
 
     def closed?