"I know that my children just want me to be happy," she continued. "I think that I am a success at my life if can be happy, so I think they support that."
Melissa and Tammy Lynn – formerly Tammy Lynn Michaels – had twins, son Miller Steven and daughter Johnnie Rose, together in 2006. She also has two other children, Bailey, 13, and Beckett, 11, with her former partner, Julie Cypher.
The singer told Access that ending their relationship after almost nine years together took time.
"The process that Tammy and I went through took awhile," she explained. "Those things just don't come to an end instantly."
Related Content from AccessHollywood.com:
VIEW THE PHOTOS: Hollywood's Hottest Moms & Their Loveable Little Ones
VIEW THE PHOTOS: Celebrity Gays & Their Gal Pals
PLAY IT NOW: Melissa Etheridge Talks Breakup With Tammy Lynn
PLAY IT NOW: On The Download: Melissa Etheridge - 'Fearless Love'