Eriksen suffered the injury during Saturday’s 3-1 win over the Championship side when Reading striker Andy Carroll lunged at him from behind with a dangerous tackle.
Carroll was not sent off for the tackle but did later see red for two bookable offences.
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United said in a statement: “While investigations are continuing, initial assessments indicate that Eriksen is likely to be out until late April or early May.
“The 30-year-old’s absence will be a big disappointment to manager Erik ten Hag and fans, given the consistency of his performances throughout the season so far, making 31 appearances since arriving at Old Trafford.
“However, there is hope that Christian can return in time to play a role in the final stages of the campaign.”
United are currently fourth in the Premier League on 39 points, 11 behind leaders Arsenal and three ahead of fifth-placed Tottenham, who have played a game more.
They take a 3-0 lead into their League Cup semi-final second leg with Nottingham Forest later on Tuesday, while they soon face West Ham in the fifth round of the FA Cup and Barcelona in their Europa League play-off.
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