The former Manchester United man is pleased to have finally made his first appearance for the Black Cats, and is promising an improvement on his team's results after a slow start
The Black Cats have endured a difficult start to the new campaign, failing to win any of their opening three league fixtures, but O’Shea believes they will improve when the domestic season resumes after the international break.
"I'm happy to have got my first 90 minutes for Sunderland under my belt, but we're a little disappointed not to have come away with the three points," he told the club's official website.
"The chances we created were good ones and I think we deserved to win, but it wasn't to be.
"It's difficult to come into a team which has already played a few games because I'm not fully up to speed having missed some of pre-season.
"But I've worked hard to get to this stage and I'll only get fitter and stronger now.
"Hopefully I'll get another couple of games under my belt on international duty and come back better for it."
The experienced former Manchester United stopper admitted he thought he had scored against Swansea, only to see his effort rebound of the woodwork.
He added: "I caught it a bit too cleanly, though I thought it was in. I told Seb [Larsson] to beat the first man and I'd get across, and it worked.
"I got the perfect connection on it - on another day it would have dropped in but it wasn't to be."