The former Arsenal shot stopper wants his side to finish the season strongly and set a points record.
The Polish goalkeeper told the South Wales Evening Post: "It's really important for us to make this season special for the supporters and set a new points record.
"To go past 50 points would really make it a great season for this football club, and it would be reward for the supporters following us at the Liberty and up and down the country for every away game.
"Aston Villa was a massive win for us. Even though we are safe, we want to push hard towards the end of the season."
The previous points record was in Swansea's first season in the Premier League under Brendan Rodgers when they managed to accumulate 47 points. Since then they have managed to consolidate their place in the Premier League and won their first major trophy in 2013 when they lifted the League Cup under Michael Laudrup.
Swansea are four points away from equalling that points record, but just the seven away from the 50 mark with eight games remaining. Given how well they have played this season, it would be a big disappointment if they were to miss out on the total.
This season has also vindicated the board's decision to make the change midway through last season and put Monk in charge. Having secured the side's safety last term, they have managed to kick on this time around.