Overstreet has now told TV Line that he was "bummed" when he found out that he would not be a series regular.
However, he added that he took it as an "opportunity" to pursue a music career.
"It's something I have a huge passion for," he said. "I did a lot of thinking and I felt like it was a good time to work on my album and focus on that avenue of my career. They offered me the chance to come back for a few episodes, but there was nothing guaranteed so I decided to dive into the music thing. And that's been my main priority the past two months."
Overstreet, who said that he has been "encouraged and excited by the interest from record labels", added that he believes he will continue to watch Glee.
He also praised the show's cast, saying: "We spent the past 12, 13 months together, so we were like a family. I made some friends for life. They were all there for me. They were all really sweet."