The Germany international - who is also a target for Liverpool - only signed an extension at the Bundesliga strugglers this week, keeping him at the club until 2019.
But according to today's reports in Germany, the new deal has not deterred interest from Old Trafford.
Red Devils boss Louis van Gaal is understood to be preparing a £50m move for his services in time for the summer window.
GETTY
Manchester United eye £50m move for Marco Reus
I am very happy with my decision to stay at BVB
Marco Reus
"I am very happy with my decision to stay at BVB," Reus said on the new deal.
"Dortmund is my home town and Borussia simply my club.
"I am looking forward to a successful future with our team and our fantastic fans supporting us. There is a lot to do and I want to be part of that."
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