Their final two matches of the historic campaign are away to Manchester United on May 6, followed by Liverpool in Wales on the last day of the campaign.
But Alan Pardew put Liverpool to the sword ... so why can't Swansea?
As for the match on Friday ... the Swans will have on-loan Tottenham star Steven Caulker back to bolster their defence to face in-form Papiss Cisse.
Alan Pardew: “You could have blinked and thought Papiss Cisse was Alan Shearer – he put in that sort of performance against Liverpool.
“I could not pay him a higher tribute than that. Shearer would have been purring about him.
“He has been tremendous in everything he has done.
"His first goal saw him take the defender short, stall and then go again before scoring – that is clever play.
“His second goal could have been rushed, but he is supremely confident.
“Cisse was terrific, not just for his two goals, but for his hold-up play and everything else.
“We’ve hit form at the right time. We were up against a Liverpool side who had their big guns back.
“I know they’ve lost games they shouldn’t have, but they had Steven Gerrard, Luis Suarez, Craig Bellamy and Andy Carroll on the pitch – and we still beat them.
“We have to continue creating pressure like that on the other teams we face. We are doing that and controlling games.”