The Real Housewives of Beverly Hills star, who divorced Cibrian in October 2010 after it was revealed that he had been having an affair with Rimes, claimed that the actor would not remain faithful forever.
"He will be with her until he cheats again. They won't be together forever. I'm totally over Eddie," Glanville told The Huffington Post.
Glanville went on to say she struggles to share custody of her two kids with Cibrian now that they've split.
"We share custody, it's difficult. I think it was more difficult in the beginning to all of a sudden not be with your kids half the time. But now the kids are at my house and say, 'Can we go to dad's?' and when they are at their dad's house they say, 'Can we go to mum's?'" she said.
As for her strained relationship with Rimes, Glanville said: "I really don't put too much energy into it, because it will eat you alive."
Glanville recently married manager Darin Harvey on New Year's Eve, later insisting that they were just having fun and got carried away.