Appearing on the Late Show with David Letterman, the 55-year-old former Frasier star said that he plans to make the British air hostess, 29, his wife next month.
'Kayte's my new girl, and we're planning to get married soon,' he said, 'sometime in February.'
But estranged wife Camille, 42, has reportedly objected to his request for a fast-track divorce, claiming that it is both unfair and unnecessary.
And while things may not be great with their parents, Kelsey said that their children, Mason, nine, and Jude, six, are handling the split well. 'The kids seem to be doing okay, yeah,' Grammer said. 'We've been spending quite a bit of time with them, Kayte and I.'