The Swans have won just two of their last 15 league games ahead of a crucial trip to Goodison Park to face Everton on Saturday, and Monk admits that the players do have something to prove in the closing stages of the season.
"Reputations are on the line, not just us as a club or me as a manager, but them as players," Monk told reporters at his press conference.
"At the end of the day they realise what's at stake for themselves. Their attitude has been spot on, working very well again this week and they want to do well.
"When you get questioned, you tend to get a reaction and hopefully that's the case this weekend."
Swansea are currently four points above the relegation zone in 14th.