For now, he'll watch and wait.

After some consideration, Ozpin decided against acting against Jaune immediately. As of now, he didn't have any concrete information, only suspicions. And on the off chance the young man was an agent of Salem, letting him know that Ozpin was onto him could trigger things to happen before Oz was prepared. Not to mention he still didn't know the extent of his abilities, and how much damage he could potentially do if cornered. Not to mention it could change whatever plans Salem had, and render what little Intel he had on her activities moot.

No, he needed to keep a close, but subtle watch on the young Arc. Gather information, determine the best course of action rather than go in blind. And keep his cards close to his chest, especially with those in his circle who had regular contact with the young man. Once he knew more, once Jaune slipped up and revealed some more information, he could better prepare countermeasures. And if Jaune continued to move carefully enough to keep Ozpin from getting enough answers...

Well, Qrow was due to return in time for the Vytal Festival. If anyone could spy on a suspicious character without getting caught, get more information, it was a man who could become something as nondescript as a bird.