The Celtic winger is out of contract at Parkhead next summer.
The Irish winger is set to become a free agent in June unless a new deal is agreed between him and the Hoops.
Hayes joined Celtic for £1.3 million in the summer of 2017 [The Sun] but the former Aberdeen star hasn't been a huge success.
Injury meant that he endured a poor first season at Parkhead and has been a squad player ever since, with all seven of his Premiership appearances this season coming off the bench.
Neil Lennon is clearly a fan, however, and the Bhoys boss started him in Thursday's 2-1 win at Lazio as Celtic reached the knockout phase of the Europa League.
When asked if he wants to end his career in Glasgow and sign a new deal, Hayes told The Glasgow Evening Times: "Yeah, but it’s not something that’s been spoken about. I haven’t given it a moment’s thought to be honest.
"I’ve always been the kind of guy that takes life and football day by day and I’ll continue to do that. I’m not young and naive. I know how things work in football. Now I’m just taking it day by day and enjoying my football."
Despite not playing every week, Hayes, who turns 33 in July, is clearly a reliable figure for Lennon, evident by the fact that he started in Rome the other night.
The former Don, who scored at Rangers in September, certainly doesn't shy away from the big occasion and his reliability is the single biggest thing that he has going for him in regards to getting a new deal.
Have something to tell us about this article?