"I always said it would take one last shove by leaders to get that over the line. I think there is some growing momentum now around potentially a deal emerging from Atlanta later in the week."
He said it was not a guarantee and would not confirm reports in Canadian and US papers that the two countries were about to budge on allowing more favourable dairy access.
He said the current position was not acceptable to New Zealand.
However, both Abe and Obama knew how important dairy was for New Zealand and that it needed some movement on access.
"There's an lot of discussions and quite a lot of communications between leaders. This thing needs one last shove. They know there's only a limited window of opportunity to get this deal over the line and I think they are going to put a lot of effort while we are all here together to see if we can't get some meaningful progress there."
He said Obama had made his views clear. "We have had a lot of conversations over a long period of time about TPP. He's left me under no doubt about his determination and commitment to see TPP concluded. He can also see the window of opportunity closing in on us."
He said there was a lot riding on it for New Zealand because the US was such a big market. "So there's a lot at stake for New Zealand and I think there's potential for a very good deal."