Ralf Rangnick has explained to club media that, while the left-back is set to miss the visit of Tottenham in the Premier League this evening (17:30 GMT kick-off), it is hoped he may be available for the crunch clash against the Spanish champions at Old Trafford.
Shaw played in the first leg at the Wanda Metropolitano before coming off the bench in the 74th minute of the 0-0 draw with Watford.
However, the England international then tested positive for Covid-19, along with Raphael Varane, with both defenders absent for the Manchester derby last weekend.
Although Varane returned to training earlier in the week, Shaw was still affected by the virus after displaying symptoms and will not make the matchday squad for the Spurs encounter.