The singer-and-actor was snapped up by the Maroon 5 frontman for his new record label and the pair have discussed joining forces on a song, despite having different musical styles, reported E! online.
While Matthew's new album, 'Where It All Began', is more jazz and blues inspired, Adam is best known for making thumping pop-rock songs with his band.
"We've certainly talked about a collaboration. Our styles and sounds are quite different but he loves my album so much and he's a big fan of that type of music. But you wouldn't think it because he's such a rock star," Mathew said.
"They are so different but I love both. With 'Glee', you learn lines, you show up and you're good to go. But with a music video, you get involved with everything and it's a lot more personal," he added.