Wilshere has only recently come back to the Arsenal squad after a 14 month lay-off and Wenger does not want his young star to play too much too soon.
The 20-year-old, who was dismissed during Arsenal's 2-1 defeat at Manchester United on Saturday, has managed just 225 minutes of football since returning to the first-team fold.
Wenger said: "In an ideal solution he would not be involved.
"He has only played one full game. I think he needs 10 days of full recovery.
"Roy wanted him back in the group. At least he doesn't play this weekend [at home to Fulham] as he is suspended.
"How do friendly games in November prepare you for the next official game in February?"