Blues currently sit in ninth place in the table with five games remaining but Bowyer has said that despite their 'over achievements' this season they still want to finish the campaign on a high with a top half finish.
"It would be disappointing now if we didn't finish in the top half but, like I said all the way through that amazing unbeaten run we were on midway through the season, we have got to be realistic here," the Blues midfielder has said.
"We haven't got a very big squad and we just need to keep taking it point by point.
"Even if we don't end up in the top half, it still hasn't been a bad season because everyone tipped us to go down.
"At the start of the season we would have taken 17th position but now we want to be greedy and we want to finish in the top 10.
"If we are all honest with each other, we thought it was going to be a lot harder than it was and that is a credit to everybody at the club for the hard work we have put in.
"We have surprised a lot of teams but we have still got to finish as high as possible.
"Once we did reach the 40-point mark, we could have taken our foot off the pedal but we have showed we want to get as many points as possible."