The Red Devils are keen to bolster their attacking options with just two weeks of the summer transfer window remaining.
Pulisic has emerged as an option, with the United States international growing frustrated with his game time at Stamford Bridge, something Chelsea are aware of.
He's keen for more minutes ahead of this winter's World Cup in Qatar and per The Athletic, Newcastle United, Juventus and Atletico Madrid have registered interest.
The 23-year-old would prefer to move to Old Trafford however.
Pulisic joined Chelsea from Borussia Dortmund in 2019 in a £58 million transfer, making him the most expensive North American player in history.
He would go on to help the club to Champions League glory in 2021.
Last season was a struggle however and he was regularly used as a wing-back by manager Thomas Tuchel.
His versatility could be a benefit wherever he goes, as he's able to play on either flank, up front or even as an attacking midfielder.
Pulisic has featured in both of Chelsea's Premier League games this campaign from the bench.
Back in May, Pulisic's father Mark deleted a tweet expressing sadness at his son's current situation.
He said: "The sad thing is he loves this club, teammates, and London.… puts his heart and soul into being a pro. Onwards and upwards my boy… big 6 months ahead.."
United have added Tyrell Malacia, Christian Eriksen and Lisandro Martinez to their squad this summer but supporters believe more is needed.
The last 24 hours have seen them call off a move for Juventus midfielder Adrien Rabiot due to the 27-year-old's wage demands.
Real Madrid stalwart Casemiro has been targeted and United have received 'some encouragement' regarding their pursuit.
Cristiano Ronaldo's future remains a hot topic too, but United remain committed to keeping the five-time Ballon d'Or winner.
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