diff --git a/lib/puma/client.rb b/lib/puma/client.rb
index 1b7c0ea018..d553bbd6a1 100644
--- a/lib/puma/client.rb
+++ b/lib/puma/client.rb
@@ -155,7 +155,9 @@ def try_to_finish
         data = @io.read_nonblock(CHUNK_SIZE)
       rescue IO::WaitReadable
         return false
-      rescue SystemCallError, IOError, EOFError
+      rescue EOFError
+        # Swallow it
+      rescue SystemCallError, IOError
         raise ConnectionError, "Connection error detected during read"
       end