But Press Association Sport understands the 23-year-old is conscious and will undergo further tests at Wembley.
From the World Cup semi-finals to defeat in global football's version of the Intertoto Cup.
Play had to be stopped for around 10 minutes and he was treated by 10 medical staff before being carried from the field on a stretcher, in a neck brace and being given oxygen.
Gareth Southgate also weighed in on Shaw's injury after the match, saying the team wouldn't take any chances as he continues treatment.
Meanwhile, England have called up Leicester City duo Ben Chilwell and Demarai Gray for Tuesday's friendly against Switzerland at the King Power Stadium, the FA said on Sunday.
"Normally the first thoughts are happy memories, goals and wins, but then obviously you go on to think what could have been".
"That balance with the left footer for us, with him and Danny (Rose), was an advantage in several situations".
"It was a really tough game", said Southgate. I have no doubts that, by sending a message to a United player, he was not just simply exhibiting good sportsmanship.
Early in that game, which Real Madrid won 3-1, he clashed with Mohammed Salah in an incident that saw the Egypt global sustain a shoulder injury that forced him off prematurely and saw his participation in the World Cup limited.