Forward Walcott is still sidelined by the chest injury suffered while on international duty for England against San Marino and will miss Wednesday's Champions League visit of Schalke.
The 23-year-old has yet to extend his deal, which expires at the end of the season, with Juventus said to be one of the teams monitoring the situation.
Wenger said: "They [talks] are going on, but there is no news about that.
"My determination has always been the same, to extend his contract. That other clubs are interested or not, the determination is the same."
Like fellow winger Alex Oxlade-Chamberlain and defender Kieran Gibbs, who pulled out of the England squad with a thigh injury, Walcott could come back into contention for the visit of bottom club QPR on Saturday.
The manager added: "The good news is that Theo had his first run today and is looking quite well, so he should be back shortly."
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
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adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
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The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
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