Billy Bush is willing to fork over spousal support, but he wants his estranged wife to budge when it comes to custody of their 2 minor kids.
In new legal docs obtained by TMZ ... Billy says he wants joint physical and legal custody of their 13 and 17-year-old daughters. Billy's estranged wife, Sydney Davis, had wanted joint legal and primary physical custody, so it seems a battle may be brewing on that front.
As far as spousal support, Sydney requested it and Billy didn't fight it.
TMZ broke the story ... Sydney filed legal docs to end the marriage last month, citing irreconcilable differences.
They separated last September ... about a year after the infamous "Access Hollywood" bus audio was released. You know by now he was fired from his job at "Today" shortly after the audio became public. He scored millions in a settlement.