Lawrence had started his country's last three Tests, but the centre has been replaced by Guy Porter as Steve Borthwick named his 36-man training camp squad for the trip to Ireland next weekend.
There are returns for George Ford, Jonny Hill and Ollie Hassell-Collins, while Will Collier is also called up and Manu Tuilagi returns from suspension.
Borthwick's men will be hoping to put in a vastly improved performance at the Aviva Stadium after they were on the end of their record home defeat at the hands of France, going down 53-10 at Twickenham.
England hooker Jamie George apologised to fans after the game, with many leaving early after seeing their team concede seven tries to Les Bleus.
"I want to apologise because I'm one of [the fans] really," he said. "I would be gutted if I'd turned up to Twickenham to see an England team play like that.
"We are sorry and we need to make sure that we get better and learn from this experience because it's clear we have a long way to go."
Ireland is on course for a Grand Slam after they beat Scotland 22-7 at Murrayfield on Monday (AEDT).
Full England squad:
Forwards: Ollie Chessum, Dan Cole, Will Collier, Ben Curry, Alex Dombrandt, Tom Dunn, Ben Earl, Ellis Genge, Jamie George, Jonny Hill, Nick Isiekwe, Maro Itoje, Lewis Ludlam, David Ribbans, Bevan Rodd, Kyle Sinckler, Mako Vunipola, Jack Walker, Jack Willis.
Backs: Henry Arundell, Owen Farrell, Tommy Freeman, George Ford, Ollie Hassell-Collins, Max Malins Joe Marchant, Alex Mitchell, Cadan Murley, Guy Porter, Henry Slade, Marcus Smith, Freddie Steward, Manu Tuilagi, Jack van Poortvliet, Anthony Watson, Ben Youngs.