Mr Wilkie, who pulled off a shock result in the Hobart seat of Denison in the August 21 election, said he had hoped to have a decision on who he would support by Wednesday, but now expects it to take another day or two.
He said Ms Gillard was the first of the two leaders to make him an offer.
"It is unsatisfactory, I'll be in back in touch with her today or tomorrow to talk some more," he told ABC Radio on Wednesday.
"I am flying to Canberra today to have a follow-up meeting, I expect, with the opposition leader."
Mr Wilkie said the 20-point list of priorities released to the media on Monday was not a wishlist or a list of demands.
"It's more like a manifesto, it's basically laying out 20 odd areas of concern that I have and which I aim to focus on during the first term of parliament," he said.
"I'm focusing on two things initially in particular and that's the need to fix the Royal Hobart Hospital and the need to reform poker machine legislation."
He said it was in the national interest to have a result "as quickly as possible".
"This period of uncertainty is not good for people. It makes them anxious, it makes business anxious," he said.
