The USMNT international wants an exit this summer and could leave Camp Nou for Old Trafford on the deadline day.
Man United can transfer or loan out Aaron Wan-Bissaka before the transfer window closes this Thursday.
Current United manager Erik ten Hag considers Wan-Bissaka as surplus and wants to offload him in the summer either on loan or a permanent deal.
Dest has fallen out of favour under manager Xavi and has struggled to make any major impact at Camp Nou in the past two seasons.
The 21-year-old defender earlier suggested that he’s not looking for a move this summer.
Dest said: “I am happy at Barcelona, in the club. Definitely, I will stay here. I believe that we cannot play in the Europa League anymore. We have a lot of talent. We are trying to create a new generation and this takes time.”
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