diff --git a/org.eclipse.jgit/src/org/eclipse/jgit/transport/FetchProcess.java b/org.eclipse.jgit/src/org/eclipse/jgit/transport/FetchProcess.java
index 2cedd4b07..507795af5 100644
--- a/org.eclipse.jgit/src/org/eclipse/jgit/transport/FetchProcess.java
+++ b/org.eclipse.jgit/src/org/eclipse/jgit/transport/FetchProcess.java
@@ -47,6 +47,7 @@
 import org.eclipse.jgit.lib.Ref;
 import org.eclipse.jgit.lib.RefDatabase;
 import org.eclipse.jgit.revwalk.ObjectWalk;
+import org.eclipse.jgit.revwalk.RevObject;
 import org.eclipse.jgit.revwalk.RevWalk;
 import org.eclipse.jgit.util.StringUtils;
 
@@ -378,11 +379,19 @@ private void updateFETCH_HEAD(FetchResult result) throws IOException {
 	private boolean askForIsComplete() throws TransportException {
 		try {
 			try (ObjectWalk ow = new ObjectWalk(transport.local)) {
-				for (ObjectId want : askFor.keySet())
-					ow.markStart(ow.parseAny(want));
-				for (Ref ref : localRefs().values())
-					ow.markUninteresting(ow.parseAny(ref.getObjectId()));
-				ow.checkConnectivity();
+				boolean hasCommitObject = false;
+				for (ObjectId want : askFor.keySet()) {
+					RevObject obj = ow.parseAny(want);
+					ow.markStart(obj);
+					hasCommitObject |= obj.getType() == Constants.OBJ_COMMIT;
+				}
+				// Checking connectivity makes sense on commits only
+				if (hasCommitObject) {
+					for (Ref ref : localRefs().values()) {
+						ow.markUninteresting(ow.parseAny(ref.getObjectId()));
+					}
+					ow.checkConnectivity();
+				}
 			}
 			return true;
 		} catch (MissingObjectException e) {