diff --git a/http2/transport.go b/http2/transport.go
index 6346dd6..e396352 100644
--- a/http2/transport.go
+++ b/http2/transport.go
@@ -1376,17 +1376,12 @@
 // clientConnReadLoop is the state owned by the clientConn's frame-reading readLoop.
 type clientConnReadLoop struct {
 	cc            *ClientConn
-	activeRes     map[uint32]*clientStream // keyed by streamID
 	closeWhenIdle bool
 }
 
 // readLoop runs in its own goroutine and reads and dispatches frames.
 func (cc *ClientConn) readLoop() {
-	rl := &clientConnReadLoop{
-		cc:        cc,
-		activeRes: make(map[uint32]*clientStream),
-	}
-
+	rl := &clientConnReadLoop{cc: cc}
 	defer rl.cleanup()
 	cc.readerErr = rl.run()
 	if ce, ok := cc.readerErr.(ConnectionError); ok {
@@ -1441,10 +1436,8 @@
 	} else if err == io.EOF {
 		err = io.ErrUnexpectedEOF
 	}
-	for _, cs := range rl.activeRes {
-		cs.bufPipe.CloseWithError(err)
-	}
 	for _, cs := range cc.streams {
+		cs.bufPipe.CloseWithError(err) // no-op if already closed
 		select {
 		case cs.resc <- resAndError{err: err}:
 		default:
@@ -1522,7 +1515,7 @@
 			}
 			return err
 		}
-		if rl.closeWhenIdle && gotReply && maybeIdle && len(rl.activeRes) == 0 {
+		if rl.closeWhenIdle && gotReply && maybeIdle {
 			cc.closeIfIdle()
 		}
 	}
@@ -1578,9 +1571,6 @@
 		// (nil, nil) special case. See handleResponse docs.
 		return nil
 	}
-	if res.Body != noBody {
-		rl.activeRes[cs.ID] = cs
-	}
 	cs.resTrailer = &res.Trailer
 	cs.resc <- resAndError{res: res}
 	return nil
@@ -1919,7 +1909,6 @@
 		rl.closeWhenIdle = true
 	}
 	cs.bufPipe.closeWithErrorAndCode(err, code)
-	delete(rl.activeRes, cs.ID)
 
 	select {
 	case cs.resc <- resAndError{err: err}:
@@ -2046,7 +2035,6 @@
 		cs.bufPipe.CloseWithError(err)
 		cs.cc.cond.Broadcast() // wake up checkResetOrDone via clientStream.awaitFlowControl
 	}
-	delete(rl.activeRes, cs.ID)
 	return nil
 }