The former Leeds forward has been discussing the United duo.
Whelan said while speaking with Andy Hughes on his weekly show: "You look at Cook at the moment, he feels like he's got the world on his shoulders.
"He shouldn't have to deal with that. You've got Murphy sitting there and people on the bench. You've got to think about the progression of these young lads. I see Cook running around trying to do everyone's job."
Murphy has essentially disappeared off the Leeds radar under Evans. The preference is for Liam Briductt, Toumani Diagouraga and Cook to form a midfield trio but, ultimately, Leeds still aren't winning games and Whelan's point stands: there is an awful lot of pressure on the 19-year-old.
There was also plenty of pressure placed on Sam Byram, who ultimately left Elland Road. Earlier this season, Byram was low on confidence and wasn't playing with a smile on his face. But, had the teenager remained at Leeds and been in top form, the full-back would no doubt have been relied upon to pull a few rabbits out of the hat.