The Germany international has been in fine form this season and the Old Trafford side supposedly see him as a fine addition to their squad.
However, Reus has stressed that he will definitely stay at BVB for at least 12 more months.
"I can say that I will definitely stay at Borussia Dortmund for another season," Reus was quoted as saying by Kicker.
"I really shouldn't have to repeat that I am feeling very good here at BVB. It was always a dream for me to play for this club and in this stadium.
"I left the club after 10 years with the youth academy, but I took one step back via Ahlen and Borussia Monchengladbach, only to then take two steps forward again.
"I am back at Dortmund now, feeling perfectly fine and I have a contract until 2017."
The 24-year-old has scored 23 goals in 43 appearances in all competitions this term.