The 29-year-old, who is back in the country filling in for Mike Hosking on Seven Sharp, admits he'd be a terrible boyfriend because he's "a workaholic".
As well as being TV One's US correspondent, he also hosts a Newstalk ZB show on Saturday mornings and pens a weekly column for the Herald on Sunday.
"My life is totally imbalanced," he admits. "Whether it's dating or friends, so many times I've had to cancel for work. It's a selfish life ..."
Earlier this year, Tame was named among ELLE.com's 41 Most Eligible Bachelors.
Read more: Kiwi guys named amongst America's top bachelors
If it does happen for him, Tame says he's looking for someone with "a bit of quirk and wit".
It is believed Tame and Hilary Barry are set to host a revamped Breakfast show on TV One.
Read more: TVNZ Breakfast hosts Rawdon Christie and Nadine Chalmers-Ross shown door
It's understood current hosts Rawdon Christie and Nadine Chalmers-Ross were told the news on Friday, and were later seen drinking at an inner-city bar with newsreader Peter Williams.