"Giroud picked up an injury, I don't think he will be available," Wenger told reporters. "It's short term, we have to assess him on Monday."
Arsenal striker Danny Welbeck (groin) and defender Shkodran Mustafi (thigh) will undergo late fitness tests.
Wenger said Santi Cazorla's injury was the worst he had seen with the Spaniard sidelined since last October after suffering multiple infections following surgery on his right heel.
Wenger is hopeful the 32-year-old midfielder will return in January.
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Arsenal, who are sixth in the standings, have not beaten third-placed Tottenham in the last six league meetings but Wenger is confident can beat their local rivals.
"I think Tottenham is a good side but we have the quality to win this game and that is what we want to show," Wenger added.
Arsenal are 12 points behind league leaders Manchester City.
"It is one of the fixtures of course that is very important for us and that you want to win. Basically as well, in the table, we have to make some ground up with the top teams," Wenger said.
"You need to have full commitment, but as well be lucid enough and calm enough to focus on the game."
(Reporting by Aditi Prakash in Bengaluru, editing by Ed Osmond)
