Boss and Striker Both Happy With Vital Win
The game was described as a must win game by Allardyce before the kick off and after the game he spoke of it being an 'enormous' victory.
Jermain Defoe was the biggest difference in the two sides and he hit a hat-trick in a game that saw Swansea defender Kyle Naughton sent off for a tackle on Yann M'Vila.
Big Sam told BBC Sport: 'It's an enormous, enormous, enormous three points for us which gives us a lot of hope going forward.
'I'm delighted for the fans; they deserve that result. They can enjoy that journey home now.
'The clinical Mr Defoe won us another game. We're putting the myth to bed that Jermain can't play up front on his own.
'We've made big strides to close the gap but we have to continue to chip away.'
Defoe, who makes a habit of scoring against the Swans, was delighted with his efforts on the night and hopes that the side can continue to keep going forward and build upon the last two vital wins.
However, the home crowd were none too pleased with the officials last night as two of the goals from Defoe were questionably offside.
The striker added: 'You have to keep making the runs - if you're offside you're offside. You get in the position and see what happens after.
'This is massive. The rest of the season now will be big. We have to recover and just keep doing what we are doing.
'We are delighted with the win because we needed it.'
Sunderland are still in the relegation zone but have now moved up to 18th place just one place and one point behind Swansea.