The 24-year-old winger is in talks over a new deal at Parkhead.
And the 24-year-old admits the lure of big European nights at Parkhead are a key reason why many of Celtic's players don't want to leave the club.
Virgil van Dijk couldn't resist the Premier League over the summer but Forrest says many of the current squad are keen to stay and continue experiencing the Bhoys' famous European atmosphere.
Forrest is quoted as saying by the GET: "We are talking. I want to stay at Celtic. Everything you do every day is enjoyable and I want to stay here. A lot of the boys feel the same because it’s such a big club.
"I think I have a year and two months left and I am pretty confident it can be sorted. As I say, it’s a big club and you don’t get much better than the European nights here.
"Obviously, I’m still at Celtic and it’s a great club, a big club. We are in Europe and it’s a great place to be."
Forrest was criticised for his Celtic form last season but has been praised for improved performances this time around.
Domestically, meanwhile, there have been few faults with the Bhoys in recent weeks. It's in Europe where things have gone wrong and this Thursday presents Ronny Deila's men with their one chance to put things right.
Realistically, Celtic will need a win against Molde at Parkhead and anything less will once again increase the pressure on their Norwegian manager.
Deila hit back at his critics before the Hoops beat Aberdeen 3-1 on Saturday afternoon but the knives will be out once again if there is Europa League failure on Thursday night.