The Broncos were forced into the switch after the pitch at the Twickenham Stoop was ruled unplayable and decided against a postponement.
"We have spent the last 24 hours searching for venues but, with a busy schedule of football matches this weekend, we have been severely limited in our choice of alternative venue," said London chief executive Gus Mackay.
"We wanted to avoid backing up fixtures and we were keen for the team to maintain their momentum following the performances over Castleford Tigers and Hull FC.
"The ground at Esher has been approved by the RFL for this one-off game. We are grateful for the support from the RFL and Esher Rugby Union Club for hosting us at short notice."
Last season London staged matches at Gillingham's Priestfield Stadium and Leyton Orient's Brisbane Road ground as part of their search for a new permanent home.
Their contract at the Stoop runs out at the end of the year and the club are considering their options for the future.
Broncos head coach Tony Rea said the players were given a say in the choice of alternative venue for Thursday's game.
"The situation was explained to the players and they were unanimous with their support of playing the game at Esher," he said.
- Sports & Recreation
- Twickenham Stoop