The Red Devils also like the look of Wolves’ Raul Jimenez, despite a deal being unlikely this winter.
Meanwhile, RB Leipzig chief Oliver Mintzlaff was recently asked about Werner and what the future holds.
And he admitted that he may be powerless to prevent the striker from leaving the club.
“I feel the appreciation from him, and he seems to be comfortable here,” he said.
“I think his agent Karlheinz Forster is also very satisfied that we were so persistent and that we were able to find a solution that works for all parties.
“Timo knows that it was the right decision to stay under Julian [Nagelsmann]. But he also knows that he can still take the next step and join a big club sometime.