According to The Sun, the players’ current deals are structured with up to a quarter of their wages taken away if do not reach Europe’s elite competition next campaign.
The reduction in pay, which is reportedly written into contracts to protect drops in revenues at the club, could encourage Real Madrid in their pursuit of Paul Pogba.
The 26-year-old has been mooted as a potential target for Real Madrid boss Zinedine Zidane, who has been promised an expensive overhaul of the current crop of Los Blancos stars.
Pogba recently flirted with speculation linking him with a move to the Spanish capital, claiming playing for the European champions is ‘a dream for anyone’.
However, United boss Solskjaer believes the Frenchman will stay, insisting: “I cannot see him not playing for us next season.”
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Pogba’s salary was boosted up to a lucrative £300,000-a-week deal after the Red Devils won the Europa League under Jose Mourinho in 2017.
Solskjaer believes Man United must win five of their six remaining Premier League matches to qualify through the domestic route, with the other method of qualification through Champions League glory this season.
Currently, the Red Devils are three points adrift of fourth placed Tottenham, with an inferior goal difference.