McKay joined Celtic from the army in September 1944 during World War II after serving in Burma with The Cameronians.
He made a scoring debut on 7 October as Celtic lost 3–2 to Rangers in the Glasgow Cup at Hampden Park.
He played a total of three Regional League games for Celtic – scoring two goals – before asking to be released in March 1945.
McKay later joined Alloa Athletic, and also went on to play for Portadown, Cowdenbeath and, in the 1949–50 season, Tranmere Rovers.
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