"It's going really well," Lambert told E! News of his romance. "It's just fine. We're dealing with [being apart] just fine."
Adam and his fellow top 10 "Idols" kicked off their summer jaunt on July 1 and the lengthy trek will wrap up September 13.
Following the jaunt, Adam said he is looking forward to returning home to spend time with his beau.
"I'm excited for the future…when I'm in LA for more than, you know, a day," he added. "It'll be nice."
Adam and Drake were first caught together by photogs in early June, and the rock star publicly came out in a cover story for Rolling Stone magazine.
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