The report claims that the Black Eagles have already made an enquiry for United’s fourth keeper and that the Red Devils are open to a letting him leave.
The 31-year-old keeper has only featured in 19 Premier League games over the past five-years.
Beşiktaş have also been linked with Victor Valdes but head coach Şenol Güneş reportedly vetoed the move according to HaberTürk.
The report states that Güneş feels Valdes would disrupt the balance of the current squad.
Güneş is however, reported to be unhappy with the performances of current first choice keeper Tolga Zengin and second choice keeper Cenk Gönen.
The Black Eagles are currently managed by Şenol Güneş who replaced Slaven Bilic over the summer.
Bilic replaced Sam Allardyce at West Ham over the summer after resigning from his role as Beşiktaş head coach.
Beşiktaş currently have three points after two games in the Süper Lig and take on Gaziantepspor next.