The 14-year-old Rangers youth team keeper is a target for a number of Premier League teams, including Manchester City, Manchester United and Sunderland.
McCrorie has impressed for Scotland under-16's in the Victory Shield, and has already trained with the Rangers' first team.
The Scottish giants currently find themselves in the third division after demotion for financial irregularities, and they could find it difficult to prevent McCrorie from joining one of the Premier League title challengers.
Manchester City and Manchester United are reportedly keen to bring the youngster to the Premier League, but Sunderland are also thought to be monitoring the young star.
The Black Cats once spent £9m on Scotland international keeper Craig Gordon, but that move failed to work out after the Scottish shot-stopper was plagued by injury.
Manchester City currently have Costel Pantilimon backing up undisputed number Joe Hart, but the situation is less clear at Old Trafford.
Sir Alex Ferguson has rotated Andres Lindegaard and David De Gea this season, with neither keeper establishing himself as the club's number one. But McCrorie would be a long-term option, and would be unlikely to feature in any first-team for a number of years.