The Mirror says United have made a first approach to RBL for the Slovenia striker after being turned off by Aston Villa's asking price for Ollie Watkins.
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Villa are demanding £60m to sell Watkins, who will be 30 years of age in December.
While relatively unproven, United are prepared to take a gamble on the potential of the younger Sesko.
A price hasn't been mentioned, though RBL will seek a similar fee as Villa for their 22 year-old centre-forward.
Also watching Sesko is Newcastle, which see him as a potential replacement for Alexander Isak.