Wenger expects the have the 22-year-old back in action early next month, following the player's latest injury setback.
Wilshere has been sidelined since suffering a hairline fracture in his foot while playing for England in the 1-0 friendly win over Denmark at Wembley on March 5.
And Wenger has already informed Three Lions boss Roy Hodgson on the progress of Wilshere's recovery.
Should he return on schedule, Wilshere will be available for the FA Cup final against Hull City, and be ready for England matches with Italy, Uruguay and Costa Rica.
"He is starting to jog this week. I would think two to three weeks," Wenger said.
"I spoke to Roy Hodgson and I told him that Wilshere will be available for England. He will be just polished for England.
"Jack can be the positive surprise.
"England has a very difficult group and it is a double problem, but it can be a double chance also because if you come out of a group like that, then the belief is really strong.
"But first they have to deal well with the situation, they have Italy and Uruguay in the group and they have to get out of it."