diff --git a/internal/http2/transport.go b/internal/http2/transport.go
index 3677f190..25759d86 100644
--- a/internal/http2/transport.go
+++ b/internal/http2/transport.go
@@ -527,7 +527,7 @@ var (
 // It returns either a request to retry (either the same request, or a
 // modified clone), or an error if the request can't be replayed.
 func shouldRetryRequest(req *http.Request, err error) (*http.Request, error) {
-	if !canRetryError(err) {
+	if !CanRetryError(err) {
 		return nil, err
 	}
 	// If the Body is nil (or http.NoBody), it's safe to reuse
@@ -558,7 +558,7 @@ func shouldRetryRequest(req *http.Request, err error) (*http.Request, error) {
 	return nil, fmt.Errorf("http2: Transport: cannot retry err [%v] after Request.Body was written; define Request.GetBody to avoid this error", err)
 }
 
-func canRetryError(err error) bool {
+func CanRetryError(err error) bool {
 	if err == errClientConnUnusable || err == errClientConnGotGoAway {
 		return true
 	}
diff --git a/transport.go b/transport.go
index 1c549b16..cba871b1 100644
--- a/transport.go
+++ b/transport.go
@@ -944,7 +944,7 @@ func (t *Transport) roundTrip(req *http.Request) (resp *http.Response, err error
 
 	if scheme == "https" && t.forceHttpVersion != h1 {
 		resp, err := t.t2.RoundTripOnlyCachedConn(req)
-		if err != h2internal.ErrNoCachedConn {
+		if err != h2internal.ErrNoCachedConn && !h2internal.CanRetryError(err) {
 			return resp, err
 		}
 		req, err = rewindBody(req)