The striker's current deal is set to expire at the end of the season and he has already expressed a desire to extend his stay at the Scottish League One club.
McCoist seems equally keen to retain the services of the Northern Ireland international and will turn his focus to contract negotiations after Saturday's game at East Fife.
He said: "I know Andy's agent has been trying to get hold of me and I haven't managed to get back to him.
"I will get back to him in the next 48 hours, probably after the game.
"Andy has been a very important player for us in the past and I see him being a very important player in the future."
McCoist says he is satisfied with the squad at his disposal but has refused to rule out new additions in January.
He said: "I said from the start that I would have taken another centre-half and another centre-forward.
"If there is an option to do that, I would probably look to explore those options.
"That said, that's me only looking to strengthen.
"You couldn't help but be delighted with the boys at the moment.
"I couldn't be anything other than happy with them."
Meanwhile, Ross Perry is set to go under the knife next week in a bid to cure an ankle problem that has prevented the defender from playing this season.
McCoist said: "Ross is needing another wee operation.
"With that in mind, I would be loathe to put any timescale on his return.
"He's having a really tough time just now.
"He was down in London last week and met the surgeon and they have diagnosed a problem.
"I think it's next week that they will operate and hopefully it will be a speedy recovery.
"As bizarre as it sounds, it's probably quite good that they have found something because there was something niggling and he knew he wasn't right."
McCoist declined to comment on the boardroom power struggle that has gripped the club in recent months.
Asked if he hopes to see the situation sorted sooner rather than later, the manager said: "Hopefully that will be the case but I'm here to talk about football so I will continue to talk about football."