Lucca - who finished third on The Voice - revealed to Billboard that he joined 222 Records after collaborating with Levine on a version of The Beatles' 'Yesterday'.
"[That] was the impetus to do the whole thing," the singer said. "We had a good time working with each other. Ironically, it was an organic relationship [after the show]. He didn't put too much stock in me not winning."
Lucca is expected to begin recording "a good dozen or so songs" later this year.
He is currently on a tour of the US, which will see him perform in St Louis, Minneapolis, Dallas, San Diego and Seattle in the coming weeks.
"After the show ended we did a celebratory victory lap to say thank you to the fans," Lucca said of touring. "I had mapped out the fall tour [during The Voice]. It's now the 'Chapter Two tour'."
Lucca famously starred with Voice coach Christina Aguilera, X Factor USA judge Britney Spears, Justin Timberlake and Ryan Gosling on The Mickey Mouse Club in the early 1990s.
He has previously released a slate of independent albums, including 2011's Under the Influence.
Watch Tony Lucca discuss The Voice below: