Scans have revealed a hairline fracture in a toe on the midfielder's right foot.
Boss Glenn said after our 1-1 draw against Highbury: "Unfortunately we had a second scan done yesterday and he has a very small hairline fracture of the toe so he will probably be out for four to five weeks.
"It's a blow for Jamie but the good news, if you can call it that, is that it's not his original injury but a fresh one.
"It didn't happen in the game last week, it's something that has gradually come on. I'm sure we can get him right."
Glenn Hoddle reported this evening that Jamie Redknapp could be out for up to five weeks with a fractured toe.