United States international Dempsey had been unfortunate to get in the way of Sinclair's 56th minute strike and deflect the ball beyond Fulham keeper Mark Schwarzer to give Swansea the lead.
Fulham, without striker Bobby Zamora who was rested amid speculation of a falling out with manager Martin Jol, looked set to level when Jazz Richards was adjudged to have brought down Karim Frei with four minutes to go but Vorm athletically saved Dempsey's spot-kick, before substitute Graham slid home the clincher in stoppage time.
Source: PA
Source: PA