The England internationals missed the comeback victory over West Ham United in the Emirates FA Cup fifth round and manager Erik ten Hag admitted it would be a case of trying to get them back for Sunday's 16:30 GMT kick-off.
Shaw picked up a knock in the Carabao Cup final triumph against Newcastle United, while Sancho was ill.
Ten Hag told MUTV: "We hope [it's] not too bad, we have to see how it develops until Sunday."
Alejandro Garnacho promoted his claims for a start at Anfield with a Man-of-the-Match display against West Ham, while Lisandro Martinez, Raphael Varane, Casemiro, Fred and Marcus Rashford all came off the bench to help the Reds clinch a place in the last eight of the FA Cup.