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Lawrence started in the victories over Georgia and Ireland, but will play no part at Parc y Scarlets on Sunday (AEDT).
England defence coach John Mitchell said: "Ollie has a little niggle around his abductor and hip area, nothing major but it is a niggle that is concerning him.
"Ollie has huge potential as a centre. He is very talented in terms of running onto the ball and he has got exceptional ability to line break."
Jonathan Joseph or captain Owen Farrell could move into midfield in the absence of Lawrence as the Six Nations champions look to seal top spot.
Jack Willis has been retained by Eddie Jones in a 25-man squad, while Anthony Watson and Joe Marler will be hoping to make their Test returns.
England squad:
Backs: Elliot Daly, Owen Farrell (captain), George Ford, Jonathan Joseph, Max Malins, Jonny May, Dan Robson, Henry Slade, Anthony Watson, Ben Youngs.
Forwards: Luke Cowan-Dickie, Tom Curry, Ben Earl, Ellis Genge, Jamie George, Jonny Hill, Maro Itoje, Joe Launchbury, Joe Marler, Kyle Sinckler, Will Stuart, Sam Underhill, Billy Vunipola, Mako Vunipola, Jack Willis.
