Victory at the Liberty Stadium will guarantee the Welsh outfit a fourth straight season in the Premier League, which is already looking highly probable considering the six-point gap between them and the relegation zone.
A total record of three wins from 14 games may not be enough to persuade the Swans board into offering him a full-time contract, despite him seemingly being a popular figure among the players and fans.
Monk will therefore be targeting a strong finish to the season, starting with victory over visiting Villa this weekend, to enhance his chances of becoming a full-time top-flight manager at the age of 35.
His opposite number, Paul Lambert, is also sweating on his position, with accusations from former players of him of failing to take the club forward leading to speculation that he could be axed in the summer.
Lambert also finds himself in a similar situation to Monk when it comes to on-field matters, with one more win likely to secure the Midlands outfit - who are five points above water - their Premier League status.
Christian Benteke's return to form had looked to have put a big enough gap between Villa and the drop zone some time ago, but five games without a win have seen them dragged back onto the cusp of trouble.
Swansea's 2-1 win at Newcastle United last weekend was their first league away success since November.
Possible starting lineups
Swansea: Vorm; Rangel, Amat, Williams, Davies; Shelvey, Britton; Routledge, De Guzman, Hernandez; Bony
Villa: Guzan; Bacuna, Baker, Vlaar, Bertrand; Westwood, El Ahmadi, Delph; Weimann, Albrighton, Agbonlahor
Sports Mole says: 3-1