The centre-half's current deal runs out at the end of the season but he is keen to extend his stay at Goodison Park especially after being out of the side lately with injury.
David Moyes has hinted that there will be a new deal in the summer although Distin is eager to get back on the pitch and prove his worth to the club.
Distin, who regained his place in the last three matches, did not enjoy his spell on the sidelines, he said: "Being on the bench, I didn't like it and I think it's my longest spell on the bench since I started football.
"I did hate it but I did try to take the positives out of it and it made me realise that I'm not ready to stop at all.
"I'm not ready to be on the bench at all and that's a good thing.
"I'm working hard every day not to be on the bench, but we have four great centre-backs.
"We have an England international (Phil Jagielka), a Dutch international who played in the final of the World Cup (John Heitinga) and then you have me and (Shane) Duffy.
"It's tough competition but it is healthy competition. We enjoy playing with each other and there is no tension between us.
"This can only make us better and we know that we have to perform week in and week out, otherwise there will be another two players who will be picked.
"The reason I am in England is to play against the best strikers and I would rather have those kind of challenges every week rather than play in a league where I don't enjoy my football. I know it is difficult but that is what makes football magic for me."