diff --git a/http2/transport.go b/http2/transport.go
index 9180ba3..4ded4df 100644
--- a/http2/transport.go
+++ b/http2/transport.go
@@ -16,7 +16,6 @@
 	"errors"
 	"fmt"
 	"io"
-	"io/ioutil"
 	"log"
 	"math"
 	mathrand "math/rand"
@@ -2904,7 +2903,12 @@
 	log.Printf(format, args...)
 }
 
-var noBody io.ReadCloser = ioutil.NopCloser(bytes.NewReader(nil))
+var noBody io.ReadCloser = noBodyReader{}
+
+type noBodyReader struct{}
+
+func (noBodyReader) Close() error             { return nil }
+func (noBodyReader) Read([]byte) (int, error) { return 0, io.EOF }
 
 type missingBody struct{}