Reports in Germany last week suggested Bayern were most likely to land the 24-year-old.
But Lewandowski’s agent Cezary Kucharski has since revealed United are still very much in the hunt.
Kucharski said: “Many clubs are interested in the player, in particular Manchester United.
“Bayern Munich? I know something, but no further details.”
Kucharski played down talk Juventus could be in the running to sign his client.
He added: “In June, we’ll see, but a move to Juventus is a rumour. No one from the club has spoken to me.”