"It's about the right role and the right timing," the singer tells PEOPLE
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Josh Groban is eyeing a spot on the Great White Way.

The singer – who performed Carousel classic “You’ll Never Walk Alone” during the “In Memoriam” reel at the Tony Awards Sunday – hopes to make his Broadway debut soon.

“I would love to. I think it’s about the right role and the right timing, but I’m giving myself another year before I finally make the move,” the singer, 34, told PEOPLE at New York’s Radio City Music Hall before the show. “I love it.”

The move makes sense: Groban’s latest album, Stages, features theater and cinematic classics, like “Over the Rainbow” from The Wizard of Oz and The Phantom of the Opera‘s “All I Ask of You,” on which he shares the spotlight with Kelly Clarkson.

“It was daunting! It was almost harder to choose the songs than it was to record them because I’ve grown up with a hundred of my favorites, so really, it came down to the songs that felt right for my voice, right for my life experiences – stories that I wanted to tell – and then great arrangements,” says Groban of the collection.

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“The unsung heroes are the great orchestrators, the great arrangers who give you the tracks that you feel like you can add something new to.”

The singer attended the annual awards show with girlfriend Kat Dennings.