Phillips is impressing at Euro 2020 and has helped the Three Lions to a first major tournament final since 1966.
Former United striker Dimitar Berbatov has been impressed with Phillips' performances, for both Leeds and England, and he'd be interested in seeing him at Old Trafford.
He told Betfair per the Mirror: "Kalvin Phillips stood out again too [in the 2-1 semi-final win over Denmark].
"He's been one of the players of the tournament and, sooner or later, I expect him to leave Leeds for a bigger club.
"Offers will come in for him after the tournament. He is playing with maturity, agility, knowing when to run with the ball and when to pass.
"I would like to see him sign for Manchester United."
The 25-year-old is adored by Leeds fans as well as manager Marcelo Bielsa, adopting the nickname of 'Yorkshire Pirlo' since debuting in 2014.
United are reportedly in the market for a midfielder and need a long-term replacement for Nemanja Matic.
Phillips' contract doesn't expire until 2024 and Leeds are in a solid position to not sell, after a top-half finish in the Premier League.
He earned his first England cap back in September and many questioned his involvement in the Euro 2020 squad.
Calls for manager Gareth Southgate to use more attacking-minded players saw Phillips criticised.
However, he's formed a solid partnership with Declan Rice and both men are worthy of starting spots.
Ashley Cole has been a critic in the past but admitted he was wrong following the Denmark game.
He told ITV: "It was brilliant to see these fans here, the families are here, the players are celebrating singing that great song [Sweet Caroline], it's just wonderful.
"It's emotional. I'll say it live on air, I had to get Kalvin Phillips here and say to him, 'you know what... big respect'.
"I think he's been tremendous in this tournament, he's been so solid and integral in this England [team]. For me that was my little 'sorry'.
"I have been very impressed. I think there were question marks on whether (Harry) Maguire should start coming back from injury.
"He came back and slotted in so well. I think he has been tremendous in the tournament.
"A shout out for Jordan Pickford who has been brilliant and hopefully he can get the Golden Glove.
"And then you look at the two pivots (Phillips and Rice) in front which I think have been vital and integral in the way that England play."
Featured Image Credit: PA Images
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