Bellingham has starred for BVB since arriving from Birmingham City in 2020, and a number of leading European clubs are believed to be interested in signing the 18-year-old.
Haaland, meanwhile, has now scored 66 goals in 66 appearances for his German club in all competitions and is widely expected to leave next summer when a £68m release clause becomes active.
According to The Independent, Man United are hopeful that they will be able to sign both Bellingham and Haaland when next summer's transfer window opens for business.
The report claims that Bellingham has already been in contact with Jadon Sancho to ask the attacker about the 'set-up and vibe' at Old Trafford.
Man United are expected to face competition from the likes of Manchester City, Chelsea and Real Madrid for Haaland, who was strongly linked with a switch to England before arriving at Dortmund.
Bellingham, meanwhile, is thought to have had the chance to move to the Red Devils when he left Birmingham but instead decided to continue his development in Germany.
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