The 28-year-old's existing deal at Old Trafford is due to expire at the end of June, and it is understood that talks over a possible extension with the Red Devils have not yet started.
Pogba has been in strong form for the 20-time English champions in the second half of the campaign, but his future at the club continues to be called into question.
According to AS, Real Madrid still hold a strong interest in the France international, and the Spanish champions are considering launching a move during this summer's transfer window.
The report adds that Los Blancos are keen to overhaul their squad in the upcoming market, although it remains to be seen how much the club have to spend on new players due to the financial impact of the coronavirus outbreak.
Pogba - also thought to be a target for former club Juventus - has scored six times and registered seven assists in 38 appearances for Ole Gunnar Solskjaer's side during the 2020-21 campaign. body check tags ::