The 31-year-old 'Blue' hitmaker married to Cibrian in 2011 and the couple insists they do not give up on each other, reported Us magazine.
"Honestly it's not giving up on each other," Rimes said of her marriage.
"I think that plays a really big part. You gotta have faith, and we have faith in our relationship," Cibrian said.
Part of their future plans may include expanding their family.
"He's the best Dad already. I have a little bit of experience with the kids now so, I feel like I wouldn't be too crazed. It doesn't feel like a real first, first!," she said.