Cunha has been struggling with adductor problems in recent weeks. Although he has continued to feature for Michael Carrick's side, even playing through the pain barrier against Liverpool, there are lingering concerns about the long-term risk of a more serious tear if he is not managed correctly.
By removing him from the high-intensity environment of the Premier League run-in, United and the CBF hope to ensure he arrives at the World Cup at 100 per cent fitness.
The tournament is set to kick off in just over a month, leaving little room for error in his rehabilitation process.