The 24-year-old has more than two years left on his Juventus contract and he has been a regular in the Bianconeri team this season.
However, Juventus are open to letting him go if the right offer arrives given their need to bring balance to their wage bill and he has suitors in the Premier League.
Aston Villa are interested in getting their hands on him and even Bournemouth are keen to sign McKennie.
But according to Italian daily Corriere di Torino, McKennie has knocked back offers from both Premier League clubs.
He has rejected a chance to join either Aston Villa or Bournemouth in the ongoing transfer window.
The United States international is looking for a pay rise but he is also keen to join a big club who have a project to win trophies.
He does not believe either Aston Villa or Bournemouth are going to be in a position to compete for anything any time soon.
It remains to be seen whether a club of McKennie’s liking make a move for him in the ongoing window, amid interest from Tottenham Hotspur.