Kelsey Grammer: I'm Marrying Kayte in February

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His divorce isn't final, but that's not stopping Kelsey Grammer from rushing down the aisle.

On Thursday's Late Show with David Letterman, the actor confirms he and gal pal of several months, Kayte Walsh, 29, will wed next month.

"Kayte’s my new girl, and we’re planning to get married soon," he says. "Sometime in February."

And while his relationship with soon-to-be ex-wife Camille is definitely acrimonious -- The Real Housewives of Beverly Hills star, 42, implied on Howard Stern's Sirius XM radio show Wednesday that Kelsey is a secret cross-dresser -- the former Frasier actor, 55, says their children are handling things just fine.

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“The kids seem to be doing okay, yeah,” Kelsey says of daughter Mason, 9, and son Jude, 6. “We’ve been spending quite a bit of time with them, Kayte and I."