However, McCoist has admitted that he is considering sending Gallacher on loan, should the Scot secure reinforcements before the end of August.
"We've got two or three goalkeepers who have been put to us but we've nothing new to report on that front so far," McCoist told the club's official website. "I must say big Gall has been looking terrific, he really has, but I still think the best thing for him in the long term would be to go out on loan.
"He needs to get playing and get a good few games. He's definitely improving and we can see there's no doubt about that.
"But in an ideal world, if we could get another keeper in that would allow Gall to go out on loan. I think he needs a competitive edge for a season or so."
Former number one Neil Alexander left Ibrox at the end of last season.