The sports radio station states that the Red Devils are interested in signing the Germany international whose contract expires in 18 months.
Sportmediaset [as per the Daily Star] have reported that the Liverpool are eyeing a £22 million move for the deep-lying playmaker.
Both United and Liverpool have received a boost in the race to sign Gundogan after Serie A giants Juventus cooled their interest in the Germany international.
Gundgoan was previously identified as a priority target by Juve but have subsequently denied interest in the 25-year-old. Dortmund recently rejected a €30 million bid from Juventus for the midfield playmaker according to Goal.
The deep-lying playmaker has five assists and two goals for Dortmund in 28 appearances this season.