The website claims that the American international is being considered as a target with manager Erik ten Hag eyeing potential alternatives to Jadon Sancho.
Pulisic made the move to Stamford Bridge for £58m in 2019 but injuries and poor form have meant that he has never really established himself as a regular starter.
The American was also linked with a switch to Old Trafford during the January transfer window but a deal was scuppered when the forward picked up a knee injury.
Pulisic is not the only Chelsea star that United are believed to be targeting. GiveMeSport report that Mason Mount is also on ten Hag’s wishlist.
The England international will have one year left on his contract at the end of the season and his departure from the Blues is looking increasingly likely. Liverpool, Manchester City and Newcastle have also been linked with the 24-year-old so United will have a battle on their hands to sign the player.