Gunners boss Wenger had been unwilling to set a comeback date for the England midfielder, who has already been out for a year with ankle and knee problems.
But, speaking ahead of Arsenal's final match of their Asia tour in Hong Kong on Sunday, Wenger said: "Hopefully, we will get Wilshere back playing for October.
"With Abou Diaby returning, it will be like signing two new players. This season, the squad will be strong and competitive."
Wilshere, who will reportedly resume light training next month, underwent a procedure on his knee in May, having missed the whole of last season with an ankle problem.
An October return would rule him out of England's opening two World Cup qualifiers against Moldova and Ukraine, which take place in early September.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.