England international went for a scan on Monday which revealed muscle injury after being forced off the pitch during the 0-0 draw with Norwich at Carrow Road on Saturday
The 33-year-old was substituted after 36 minutes at Carrow Road as the Blues faltered to a goalless draw with the league's new boys and is now unlikely to feature in the FA Cup fourth round match against QPR on Saturday at Loftus Road.
However, the England midfielder is expected to join up with the rest of the squad in Mallorca where they are on a mid-season training camp this week, the club's official website revealed.
Lampard is currently Chelsea's joint top-scorer in the Premier League this season with nine goals from 20 matches, a tally matched only by Daniel Sturridge.
Although doubtful for the up-coming QPR tie, the club are yet to target a date for his possible return.