The Scot was happy to see his men come away with three points after the opportunities they missed against the champions a fortnight ago.
"I thought we were excellent from start to finish today," he said.
"Swansea shook us a bit when they scored that goal, but apart from that, I thought we were excellent.
"In many ways winning Swansea was a lot tougher than Manchester United because we weren't expected to get anything from Old Trafford.
"Everybody thought we were just going to turn up and beat Swansea today but it was tough. Swansea are a good side. (Manager) Brendan Rodgers has got them playing well. They are a real top side."