Mr Peters also said the timing depended on the other parties as well, but didn't explain what he meant by that.
Contacted by that route, he was not enthusiastic about releasing the names of the governing members of the political party holding the key to whether or not the National or Labour Party will lead the next government, with a deadline of Thursday imposed by Peters for a decision.
Peters said the board members had a right to privacy.
The board of NZ First, which could help determine New Zealand's next government, has been revealed by Radio New Zealand.
"They are not politicians but New Zealanders who believe in the party and wish to make a contribution to the decision-making process".
The New Zealand First board will be presented with two options at a special meeting over the weekend or Monday, after final negotiations today.
Winston Peters and his team emerge after another meeting.
"I can say that we've had an excellent, productive meeting", Ardern told reporters after coming out of the two-hour meeting.
A final vote count published over the weekend - two weeks after the September 23 poll - showed the center-left Labour-Green bloc picking up two extra seats, bringing it nearer to the center-right governing National Party's tally.
The party's constitution dictates the board must consist of the party president, secretary treasurer, parliamentary leader and deputy leader, a director general, and a vice president from each the North Island and South Island.
Skype was discussed but decided against, said Mr Peters. You want a serious consensus.
Peters hit out at media for what he said was the suggestion that he alone would decide whether to back Labour or National, saying his party was and always had been democratic.
"It depends upon the logistical availability of the board, which could be Saturday, Sunday or Monday".
"The market's been anticipating more of a center-right government and the unknown from the center-left is weighing", ANZ Economist Con Williams said.
"It wouldn't be satisfactory".
"We're not going to think about offices and positions until we're happy with the policy", he said on Wednesday night. While he is expected to make a decision today there is no word yet as to whether he will announce it publicly this week.