The 42-year-old star proposed to 26-year-old Holmes earlier this month, seven weeks after they met, and is keen for his bride-to-be and his ex-wife to get along. Kidman has previously spoken of her happiness for the couple.
An insider tells British newspaper The Sun, "He wants her to be there to show the world they are on good terms, he also told her it would mean so much to their kids. Tom hasn't set a date but he hinted it will be by the end of the year."
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The chat show host played another joke on Cruise, poking fun at the actor's recent show of affection for Holmes on Oprah Winfrey's TV show--when he jumped up and down on her sofa - by playing Van Halen's "Jump" as the movie star stepped out from backstage.
The good-humoured chat included Letterman criticising Cruise for proposing to Holmes at the Eiffel Tower in Paris, France. He scolded the actor, "You go to Paris and the Eiffel Tower and all of that... That was a nice touch. You make the rest of us look like rube (unsophisticated country person), like we just rolled off a turnip truck."
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