He doesn't know where the ring is currently, but he knows that whoever is wielding it will have an omega ability, is unlikely to be a demigod, and will be easy to identify as soon as he gets close to them because of the temptation it will cause his whole existence to feel.
Most importantly, the ring of power is unlikely to be a trap for him as the bait is too eye-catching. It would trap a lot of people, which will warn him off. The sight of so many people rushing to kill the wielder for the tempting ring will surely tip him off.
According to Wrath, this temptation is not something unique to the ring of power. The ring of body also possesses it. This ring is the counterpart to the ring of power. It grants infinite life span, eternal youth, and infinite regeneration, so it will fix the problem of shortened life span caused by the ring of power.