"We have had to defer his comeback to full training a little so he is not available," Wenger said on Thursday.
"He is having difficulties in the final stages of his rehab. It looks to be short-term."
Record signing Mesut Ozil is also ruled out with a hamstring injury sustained in the Champions League defeat exit against Bayern Munich in midweek.
"(Ozil) is out. I don't know for how long but it is a hamstring injury. There are scans going on," Wenger said.
By the time third-placed Arsenal face Spurs on Sunday they could find themselves 10 points behind leaders Chelsea who are in action against Aston Villa on Saturday.
- Sports & Recreation
- Mesut Ozil
- Jack Wilshere