The 30-year old striker is out of contract at Kilmarnock this summer and is expected to receive a lot of attention after scoring 19 Scottish Premiership goals in the 2013/14 season.
League One champions Rangers are also in the mix but McCoist has to wait until he hears more from chief executive Graham Wallace regarding the Glasgow outfit's financial situation.
"I can't do anything just now, so things are out of our hands at the moment," said McCoist.
"But there is no point me worrying about something I can't have an effect on. I can't do anything about anything at the moment. I just have to wait until I get the thumbs up or thumbs down. When that happens, then we can start to get to work on it.
"We run the risk of clubs planning for next season and moving in, getting their work done early. So that's something we'll have to live with. Time is of the essence, absolutely. We're well down the road with our pre-season stuff but the biggest step is the players and sorting the squad."
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