The former BBC host said 19-year-old Betty's sexuality was no secret and said he would love his children "regardless of who they are".
Speaking on the Gaydar Radio breakfast show, the father of three made the comments in response to a question from a listener asking how he would feel if his daughters brought a woman home.
He said: "My eldest daughter is gay, so that's a question which I've dealt with on a regular basis already, which is, providing it's a nice woman, I'm thrilled. I've got no problems at all, obviously.
"I think that's pretty much out there - she talks about it on her Twitter feed. As any dad, really, I love my kids regardless of who they are, what they do, and I would love them if they were in trouble, I would love them if they were going through difficulties.
"Certainly, their sexuality is a, really none of my business and b; certainly none of my concern. I just want them to be good, happy, stable people and so far, all three of them seem to be that."
Ross, 50, has three children with wife Jane Goldman - Betty Kitten, Harvey Kirby and Honey Kinny.
He gave a lengthy interview to Gaydar Radio in which he also talked about plans to interview George Michael.
In May 2009, Ross was accused of making homophobic comments after he said sons who wanted Hannah Montana MP3 players should be put up for adoption.
Ross - who quit the BBC last year amid a row over prank calls he made with Russell Brand - was involved in a light-hearted discussion about prizes in a competition themed around the fictional teen pop star when he joked: "If your son asks for a Hannah Montana MP3 player, you might want to already think about putting him down for adoption before he brings his...erm...partner home."