He has already missed both of England's victories in their Euro 2012 qualifying campaign against Bulgaria and Switzerland earlier this month and will again be absent when Montenegro travel to Wembley on 12 October.
His last appearance for Chelsea was in Chelsea's 2-0 win over Stoke on 28 August.
Although his absence is a huge blow as Chelsea look to continue their winning start in the Champions League on Tuesday against French side Marseille, midfielder John Obi Mikel believes the defending Premier League champions have sufficient depth in their squad to cover for Lampard.
"There are other players who can do a similar job to Frank but it is a massive loss to the team," said Nigeria international Mikel.
"I think we are coping well without him, but he is a fantastic player and we can't wait to have him back."
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