The Netherlands star has been linked to both Manchester United and Arsenal over the past two years.
While no move has materialized, Gazzetta dello Sport claim this summer could be the moment it happens.
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Dumfries is not signing a new deal at Inter, which has led the club to decide on his sale.
Inter do want a big fee, with the source adding that Man United are very interested.
The Red Devils have Diogo Dalot and Aaron Wan-Bissaka, but may want to sell the latter.