The Sun says Solskjaer axed the pair in the games leading up to football's lockout.
He believed they needed a break after their displays were heavily scrutinised and fans jumped on their backs.
Now Ole could be ready to listen to offers for the duo as he formulates his plans for the future.
In the six games before the coronavirus shut down football, Lingard started once — in the FA Cup win at Derby.
Meanwhile Pereira, 24, made just substitute appearances.