Chances were hard to come by but the Black Cats were grateful to Bramble for a superb block in the last minute of injury time which prevented Graham - a transfer target of Sunderland - getting a clear shot on goal.
"I have to say it was a fair result," O'Shea told Sky Sports. "Swansea had two of the clearest chances.
"We could have been better going forward and both teams cancelled each other out, but it was a great tackle from Titus which stopped Graham getting the winner."
Earlier in the game Swansea felt they should have had a penalty when Itay Shechter went down under O'Shea's challenge.
Asked if he had been concerned O'Shea said: "No, I think a few times before that he had gone over fairly easily so I think the referee had that in mind so I wasn't concerned too much."
Swansea captain Ashley Williams said: "It's a tough place to come and I think we played well and stuck to our game plan.
"We nearly nicked it in the end but a draw is a fair result. We are happy with a draw to be honest."