Cook completed his suspension after the draw with Sheffield Wednesday and he will sharpen his fitness this evening in preparation for Saturday’s trip to Derby County.
The 18-year-old midfielder was forced to miss Championship games against Reading, Bristol City and Wednesday after receiving the first red card of his career in a League Cup tie at Doncaster Rovers on August 13.
He was dismissed for an alleged two-footed tackle on Doncaster defender Aaron Taylor-Sinclair during the first half of Leeds’ first-round defeat at the Keepmoat Stadium.
Luke Murphy, Lee Erwin and Casper Sloth will also play for the development squad against Sheffield United tonight (KO 7pm).