The England international is valued at around £30million by Atletico and was the subject of a failed approach from Man Utd earlier in this transfer window, according to the Telegraph.
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The Red Devils could do with another option in that area of the pitch, with Aaron Wan-Bissaka a fine defensive player, but somewhat lacking when it comes to going forward and providing an end-product with his delivery.
Trippier would be a more attack-minded option and give Ole Gunnar Solskjaer the opportunity to use wing-backs if needed, which might well be tempting after watching how Trippier and United ace Luke Shaw performed in those roles for England at Euro 2020 this summer.
The Telegraph suggest, however, that a move to Old Trafford might be particularly special for the former Tottenham man, whose family are MUFC supporters.