The Mirror claim, though, that Lemina is waiting to see if United launch a move for him.
Ole Gunnar Solskjaer is understood to be eager to recruit at least one midfielder before the August 8 transfer deadline.
And landing the Southampton outcast, who was left out of their tour of Austria, could fit the bill.
A £20m deal would allow United to save plenty of cash for prising No 1 centre-back target Harry Maguire away from Leicester.
Who Mario Lemina wants to join as Wolves enter Arsenal, Everton and Man Utd transfer chase (Image: GETTY)
Who Mario Lemina wants to join as Wolves enter Arsenal, Everton and Man Utd transfer chase (Image: GETTY)
Mario Lemina displays skills in Southampton training
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However, whether Solskjaer will put the onus on Ed Woodward to snap up Lemina remains to be seen.
Arsenal and Everton are viable alternatives for Lemina, Ralph Hasenhuttl is happy to wave goodbye to.
Arsenal made their first splash in the transfer market on Thursday as they brought in Real Madrid’s Dani Ceballos on loan.
The Gunners also announced an agreement is in place for William Saliba to join them ahead of the 2020/21 campaign having been loaned back to Saint-Etienne.
Who Mario Lemina wants to join as Wolves enter Arsenal, Everton and Man Utd transfer chase (Image: GETTY)
Everton, meanwhile, are ready to throw around some of Farhad Moshiri’s millions to give Marco Silva as good a chance as possible of cracking the top six.
Crystal Palace winger Wilfried Zaha is now reported to be in the Toffees’ sights, having initially been tracked by Arsenal.
Wolves are not short of funds given their owners are wealthy Chinese conglomerate Fosun International.
And they could yet blow their rivals for Lemina’s signature out of the water to give Santo another option in midfield.