McKee began his career at Manchester United, joining the club in 1989 after he was spotted playing for the Scotland schoolboys side.
In 1992, he made the starting line-up for the FA Youth Cup final against Crystal Palace, along with future United stars such as Gary Neville, Nicky Butt, David Beckham and Ryan Giggs.
Summer 1999 saw McKee join his fifth club in two years when he put pen to paper for Stirling Albion, but yet again he made only two appearances before moving on to Queen's Park.
He saw out the season with Queen's Park, making seven appearances for the Glasgow club, and then moved again, this time to Fauldhouse United.
McKee retired from professional football soon after, calling time on a career that lasted twelve years and with ten clubs.