SuperSport United coach Baxter is in talks with SAFA for the position, which was vacated with Shakes Mashaba's sacking in December.
Matsatsantsa last week announced they had given their permission for the negotiations to take place but insisted Baxter will see out the season at the club regardless of any potential developments.
"There's so much written and honestly guys I tried not to comment but I could comment on some of the stories that I've read. And anything suggesting that it was done and dusted a long time ago, it's completely untrue," said Baxter after his side reached the Nedbank Cup quarter-finals last night with a 2-0 win over KwaDukuza United in Clermont.
"Over the next couple of days there'll be a yes or no from all of us and I think that's all I can say to you [the media].
"Some of the stories that I'm holding SAFA to ransom because I want my son [Lee] to [be] working [with me]. You know I made my recommendation to SAFA and they take them but I've not mentioned staff by names yet.
"So maybe someone's got five percent truth and 95 percent of an interesting story. But I could address a lot of them but I don't think I should do it now."
Baxter, who is in his second season with SuperSport, previously coached Bafana from May 2004 to November 2005. He won 10 of 23 matches in charge with six draws and seven losses, including a home defeat to Ghana that saw South Africa miss out on qualifying for the 2006 World Cup.
The former Kaizer Chiefs boss said the Bafana job specifications have since changed.
"My focus is still here at SuperSport, absolutely. The thing that interested me at all is the fact that they [SAFA] are talking about a different job to the one I had when I came first," he said.
"The job that we are talking about [now] is trying to develop and rebuild with some patience being shown, and that makes it interesting.
"It makes it interesting enough to jump at it but we'll see. But the time-frame has got to be clear. I want to tell my football club if they'll be pleased to see me go or pleased to see me there. I'd say probably in a few days. If we can do it before we go to Liberia [for a CAF Confederation Cup clash with BCY on Sunday] I'd love to get it done so everybody knows what's happening."