The forward has impressed in recent years and was one of the best players during this summers European Championships and also finished scorer and winner of the Bundasliga with Dortmund last season.
He caught the attention of Sir Alex Ferguson while playing at the Etihad against City as he spearheaded a deadly attack.
Manchester United already boast a squad filled with talented strikers and may need to offload some names before signing the Polish forward.
With Rooney, Van Persie, Hernandez and the possibility of Lewandowski all in their ranks youngsters Federico Macheda and Danny Welbeck may find starting places hard to come by.
Is there a better choice than Lewandowski for Man utd? Should Utd's other strikers leave and where should the go?
Leave your comments and opinions below
Source: DSG
Source: DSG