The defender is unlikely to feature in Saturday's clash with Watford at Vicarage Road, although Shaw was optimistic about his chances of a swift comeback on Saturday night.
Due to the serious concerns related to head injures Shaw's concussion means he has now left the England squad after spending Sunday being monitored at St. George's Park and will be further assessed by United's medical team, an FA statement has confirmed.
Luis Enrique's side were 2-1 up when Shaw suffered an accidental collision with Dani Carvajal, leaving him having to be carried off on a stretcher with an oxygen mask.
During a group stage match of the 2015/16 Champions League against PSV Eindhoven, Shaw was tackled heavily by Hector Moreno and broke his leg in two places.
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The extent of Shaw's injury is not yet known. He couldn't be calm until he learned that the left-back's condition wasn't as bad as some feared at first.
"He's sat up in the dressing room".
Mata, writing in his weekly blog, noted Shaw had been in top form at Manchester United and wished him a speedy recovery.
A new deal is understood to have been offered to the ex-Southampton defender, who was voted United's Player of the Month for August, but he does not intend to make a decision until later in the season.
The setbacks appear to have made Shaw stronger, though, and Man United fans can't wait to see him back in action.