His toe was damaged in a tackle by Chris Smalling in training while they were away on international duty with England last week.
The injury forced him to miss England’s games against Germany and Lithuania and he’s set for further examination at United’s Carrington training base.
Man United face nine games in April, starting with West Brom at Old Trafford on Saturday and it’d be a massive blow to have Jones sidelined even further.
He’s previously struggled with a host of injuries, hampering his progress at United and his run in the team under Jose Mourinho was a brilliant showcase of what he was capable of once he’s given some confidence in his abilities.
With Mourinho rotating Jones, Smalling and Rojo around Eric Bailly in the centre of defence, the Portuguese boss will be hoping to lock down a starting back four, either with players at the club or in the summer transfer window with the help of some new recruits.
Mourinho could potentially enter a busy schedule of fixtures with just Rojo and Bailly and it’ll be a massive strain on them to ensure they stay fit in the absence of their team-mates.