diff --git a/core/remotes/docker/fetcher.go b/core/remotes/docker/fetcher.go
index 90542e2e75cb..59c0e3dd8ce9 100644
--- a/core/remotes/docker/fetcher.go
+++ b/core/remotes/docker/fetcher.go
@@ -459,7 +459,7 @@ func (r dockerFetcher) open(ctx context.Context, req *request, mediatype string,
 	if err := r.Acquire(ctx, 1); err != nil {
 		return nil, err
 	}
-	resp, err := req.doWithRetries(ctx, lastHost, withErrorCheck, withOffsetCheck(offset))
+	resp, err := req.doWithRetries(ctx, lastHost, withErrorCheck, withOffsetCheck(offset, parallelism))
 	switch err {
 	case nil:
 		// all good
diff --git a/core/remotes/docker/fetcher_test.go b/core/remotes/docker/fetcher_test.go
index c88067b101eb..bfb06ff415ec 100644
--- a/core/remotes/docker/fetcher_test.go
+++ b/core/remotes/docker/fetcher_test.go
@@ -247,6 +247,7 @@ func TestFetcherOpenParallel(t *testing.T) {
 	sendContentLength = true
 
 	ignoreContentRange = true
+	checkReader(0)
 	checkReader(25)
 	ignoreContentRange = false
 
diff --git a/core/remotes/docker/resolver.go b/core/remotes/docker/resolver.go
index 1c0f7c48421d..05bebd36c8eb 100644
--- a/core/remotes/docker/resolver.go
+++ b/core/remotes/docker/resolver.go
@@ -659,9 +659,9 @@ func withErrorCheck(r *request, resp *http.Response) error {
 
 var errContentRangeIgnored = errors.New("content range requests ignored")
 
-func withOffsetCheck(offset int64) doChecks {
+func withOffsetCheck(offset, parallelism int64) doChecks {
 	return func(r *request, resp *http.Response) error {
-		if offset == 0 {
+		if parallelism <= 1 && offset == 0 {
 			return nil
 		}
 		if resp.StatusCode == http.StatusPartialContent {