Lukaku's strike was his 14th goal for United, who are at West Bromwich on Sunday. Changes in personnel will be expected, but what system will they use?
Mourinho hailed Shaw for returning from injury but refused to reveal where the Englishman is placed in the pecking order at left-back.
Bailly hasn't been seen since the start of November, and his absence is undoubtedly a blow for Jose Mourinho.
Asked about the duo after United's victory, Mourinho said: 'Very good, both.
The Football Association requested information from both camps, who have now been given additional time to respond.
I don't want to be so pessimistic [to suggest Bailly is out for the season].
What to do about Romelu Lukaku?
A moment of magic from the substitute forward nearly led to the game's second goal, only for his 25-yard drive to crash back off the underside of the bar. Zlatan Ibrahimovic is waiting in the wings, but Mourinho may have next week's Carabao Cup quarter-final clash with Bristol City in mind for the Swede's first start of the season. If the people can not understand that then I'm sorry.
Lukaku was booked for a late challenge on Harry Arter for which the midfielder required treatment, and in the time added on as a result Fraser nearly caught De Gea, who reacted well to stop Junior Stanislas' deflected strike in the 30th minute, out from an acute angle.