The teenage defender has made 18 appearances so far this season, with Everton reportedly keeping tabs on his progress.
The 17-year-old has been pleasantly surprised by the extent of his involvement with the first team after progressing from the under-20s, and he has no plans to seek a move elsewhere for the time being.
O'Hara said: "I don't focus on anything like that. I'm happy here just now. I'm just focusing on trying to get into the first team here.
"It has come as a surprise getting a few first team games. I appreciate the coaching staff and the chances they have given me.
"The manager has been great this season and he has had a lot of faith in me to play me in the games he has played me in and I really appreciate that.
"The aim for next season is to try to sustain a first team place or just be around the first team for the future."
Kilmarnock face Hibernian in a rearranged Clydesdale Bank Premier League game on Wednesday night, before ending the season with another home game against St Mirren at the weekend, but O'Hara will be putting his holidays on hold after earning a call-up to the Scotland squad for the UEFA European Under-19 Championship elite round later this month.
He said: "We've got England, Georgia and Belgium in our group so it will be a great experience. I've been involved a couple times, in Serbia and Holland, but this is the big championships so hopefully we can progress.
"It will be good to see the standard of talent that other countries have. We have got a really strong squad and it will be good to see what we are like against their outfits."