A win at the Liberty Stadium would give the Swans back-to-back victories for the first time in 58 games, a span of nearly 18 months.
More importantly, three points against one of their main relegation rivals would see Swansea all but secure in the Premier League before the end of a troubled season which saw Monk take over from axed manager Michael Laudrup.
"It has been well over a year since we got back-to-back league wins, and that is unacceptable," Monk said.
"If you want to do well in the league we are in, that can't happen. It has been far too long.
"It is a massive stat for us. It's simply not good enough that we have not won back-to-back games for so long and it's something we need to change."
Monk remains coy on his future with the club and he is keen Swansea are mathematically safe before spending much time thinking about it.
He added: "We all know how much the Barclays Premier League means to the club and everyone involved. We worked so hard to get here, and we have been here for a little while now.
"We are not there (safe) yet. We've got work to do, and no game is easy, especially this time of the season.
"Everyone is scrapping for their lives, and Aston Villa are still scrapping to try to secure their safety. They are a young side, very energetic, and it is not going to be an easy game at all for us."