The defender limped out of the action at Stamford Bridge after 41 minutes of our 4-2 Premiership defeat.
It's another blow for the 22-year-old having just shaken off an ankle problem that kept him out for the majority of pre-season.
"Ledley's got a hamstring and after being able to play that back three, that's the disappointing side to it," said Glenn. "He'll be out for a few weeks."
Glenn Hoddle expects Ledley King to be out for 'a few weeks' after suffering a hamstring injury at Chelsea on Saturday.