Jones limped off in the 77th minute of Monday's 2-0 Euro 2016 qualifying victory in Switzerland due to what appeared to be a hamstring problem.
No confirmation has been forthcoming from the Football Association on the matter and United pwill be eager to assess the 22-year-old when he arrives back in Manchester.
The Old Trafford outfit, without a win to their name yet this season after four matches in all competitions under new boss Louis van Gaal, are next in action when they host QPR in the Barclays Premier League on Sunday.
Several United players could make debuts in the match, including Jones' fellow England defender Luke Shaw, who it is understood is now fit and ready for selection.
Left-back Shaw has been unable to make a competitive appearance for his new side following a summer switch from Southampton having suffered a hamstring injury of his own in August.
There could also be United bows on Sunday for another defender in Marcos Rojo, with the necessary paperwork for him to do so now signed off, plus the versatile Daley Blind and striker Radamel Falcao, the two transfer deadline day recruits.
Source : PA
Source: PA