Fellaini sustained a toe injury in Belgium’s 1-1 draw with Greece.
The midfielder has since been ruled out of tonight’s friendly against Russia and has returned to Manchester.
But the Manchester Evening News claim Fellaini’s injury is only minor.
Manchester United star Marouane Fellaini could be fit to face West Brom on Saturday
This means the 29-year-old has a chance of facing West Brom on Saturday (3.00pm).
The news will be a boost for Manchester United boss Jose Mourinho, who is without a number of players for the clash at Old Trafford.
Both Zlatan Ibrahimovic and Ander Herrera are still suspended.
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Phil Jones is out after damaging a toe in a training-ground tackle with United team-mate Chris Smalling on England duty.
And Smalling himself is a doubt after he was pictured with a brace on his right leg.
Paul Pogba is also a doubt with a hamstring injury, but Wayne Rooney has recovered from a knee problem and could feature.