Three Lions coach Roy Hodgson confirmed this week that the 20-year-old right-back has pledged his allegiance to the 1966 World Cup winners despite representing Finland at Under-19 and Under-21 levels.
"I think it's a bit early, but I am sure he will be there," said Wenger on Arsenal's official website.
"He has developed extremely well. In his head, I like the way he sees things - first to establish yourself completely as a player in your club. Once you're completely established, go for internationals.
"But you cannot always decide that when you're a young player. Everybody who is 20 would love to be called by England."
Jenkinson joined Arsenal from Charlton Athletic in June 2011.