The Swans skipper accepts that Michael Laudrup's men must continue to raise their game as they continue to raise standards and expectations at the Liberty Stadium.
Monk told the South Wales Echo: "If you told me at the start of the season we could finish 11th, 12th, 13th in the Premier League after the summer we had then we would have grabbed it with both hands.
"Now we're talking about top 10 and if we don't hit that then it's a poor end to the season and a big disappointment.
"But that's the mentality we've got and it's the right one.
"It shows how far we've come yet again that we're putting ourselves under that pressure rather than just patting ourselves on the back.
"We've got ourselves into this position and we have to accept that not finishing the job off would be a disappointment.
"In reality, some people would have taken 17th on day one - but expectations rise inside and outside the club and we have to rise to that ourselves."