The club's medical staff have confirmed that the midfielder has suffered a muscle tear in his left thigh which will take up to three weeks to heal.
Related ArticlesEngland's World Cup camp?John Terry a doubt for Brazil clashLampard injury a blow for England and ChelseaBeckham denies England feud over withdrawalKaka: England can win the World CupTriesman slashes World Cup bid boardAs a result of the injury, Lampard is likely to miss Chelsea's Premier League showdown with Arsenal at the Emirates on Nov 29 as well as their Champions League trip to FC Porto on Nov 25.
He will also be sidelined for their next Premier League contest at home to Wolverhampton Wanderers on Nov 21.
"Frank suffered a muscle tear in his left thigh while away with the England national team," a club spokesman said. "The midfielder reported back at Cobham this morning (Friday), having flown back from the Middle East.
"The Chelsea medical department's initial impression is that he may take approximately three weeks to recover."
It has also been suggested that the club will claim his £151,000-a-week wages in compensation from the Football Association while he is sidelined.
Lampard was injured while jogging during an England training session on Thursday and joined Steven Gerrard, Rio Ferdinand, David James, Glen Johnson, Ashley Cole, Emile Heskey and Carlton Cole in dropping out of the squad.
England coach Fabio Capello denied reports the plane on which they flew to the Middle East was to blame for the problem.
"It is the same plane (we used to fly to) Trinidad and Kazakhstan," he said.
Lampard's Chelsea team-mate John Terry, meanwhile, has emerged as a doubt for England's friendly against Brazil on Saturday as he is struggling with an ankle injury.