The England worldwide has one year left on his contract, but Wenger believes the time, confidence and money that the club have invested in him will be enough to keep him at the Emirates.
The national newspaper has reported that Blues boss Antonio Conte is still keen on prising Alex Oxlade-Chamberlain, Danny Drinkwater and Ross Barkley away from Arsenal, Leicester and Everton repsectively.
"I absolutely say he's a player that has made massive strides in the last season", Winterburn told Premier League Daily. I only have one target: to keep everybody onboard.
"I personally am highly determined to keep him here at the club and I hope he will commit". "Some people look better informed than I am!" he said.
Barkley is also in the final 12 months of his contract and is now sidelined with a hamstring injury but that won't stop the likes of Chelsea and Spurs from trying to lure him to London before the window slams shut.More news: Surprise WWE debuts on Smackdown
The Italian coach sees Oxlade-Chamberlain's versatility as meaning he would be capable of playing in the wing-back position. He is one of the players we want to build around in the future.
Speaking on Thursday Arsene Wenger called on Oxlade-Chamberlain to commit his future to the Gunners.
Oxlade-Chamberlain, who can play on either flank as a wing-back in Arsenal 3-4-2-1 formation, has long expressed a desire to be used as a central-midfielder.
Oxlade-Chamberlain has established himself as a regular in Arsenal's starting XI over the past six months but Arsenal are now facing the prospect of losing him. It's always very hard to predict what will happen there.
"He has always been focused on his job, he loves to play football and I don't think he is too disturbed by all the noises that happen", he said.