"I would be ignorant to say, and everyone else would think I am a liar if I wouldn't say, yes, and I have [been worried] at times," Rimes, 30, told "Entertainment Tonight" Wednesday. She added that Cibrian, 39, has had similar concerns about her -- but no longer.
"Where I'm at in my relationship with Eddie . . . that is not a worry that's in the front of my mind . . . It's definitely creeped into my mind like I think it would anyone's. And I, speaking for him, I would actually say that's probably one that's creeped into his," Rimes said. "So, to me, I think we've been very honest and open with that to each other, and our conversations about it have only made me understand how much he actually cares, as much as I do, about being faithful to each other."