Kelly Ripa and Mark Consuelos attend a screening of "Bully" on March 11, 2012 in New York City. Credit: Dimitrios Kambouris/

Kelly Ripa and Mark Consuelos have great onscreen chemistry -- it is, after all, the reason they met and later married in 1996 -- but they won't be sharing co-hosting duties on LIVE! With Kelly.

Ripa, 41, has been trying out a variety of co-hosts since Regis Philbin left the show in November 2011. "No one would make me happier than Mark, but he values our marriage," the bubbly blonde says in the June issue of Vanity Fair. "He says that he doesn't see how we could stay married and both do that show."

(Though Consuelos, 41, has filled in for Philbin in the past, stars like Josh Groban, 31, Jerry O'Connell, 38, and Nick Lachey, 38, are reportedly the frontrunners for the gig.)

Ripa -- mom to Michael, 14, Lola, 10, and Joaquin, 9 -- values independence in her relationship with Consuelos, whom she met on the set of All My Children.

"I don't give him a hard time about seeing his friends. Or for doing things independently, like taking a weekend biking trip with his racing friends," she told Good Housekeeping in March. "He doesn't need to take me everywhere or do everything with me. I'm very much about us having our own separate time."

The stars do, however, make time for each other -- after the kids go to bed. "We either talk about the day or watch one of our favorite TV shows," Ripa shared. "Otherwise, there'd be no time."