Reus, 24, joined Dortmund in 2012 and has a market value of €34 million, according to TransferMarkt.
As of Dec. 18, the German international has scored seven goals and contributed five assists in the league this season, per WhoScored.
Keep checking back here for the latest news and rumours on Reus throughout the week.
Jones writes that the German is available for a team willing to pay his buy-out clause, but the value of his buy-out clause is not specified. The report also claims the 24-year-old is concerned about United's place among Europe's elite.
United assistant Steve Round reportedly watched Reus play Marseille recently in the UEFA Champions League.
In a report published on Tuesday, The Independent's Charles Reynolds quoted Reus' buy-out clause at £30 million.
According to the report, Dortmund manager Jurgen Klopp hopes his side can close the gap on Bundesliga leaders Bayern Munich—or else risk losing the player. Dortmund currently trail Bayern by 12 points.
Reynolds writes that a January transfer is unlikely for Reus, but adds that Manchester United could sign him in the summer.