A total of 39.88 per cent of eligible voters cast a vote in Wellington City for the 2019 elections – down from 45 percent in 2016.
The final official result will be available later next week after special votes have been counted and confirmed – however Lampp said he expects Andy Foster's win will be confirmed.
Foster earlier told RNZ he was questioning a controversial housing development long before Sir Peter Jackson spoke out against it.
He told RNZ's Insight that if he was elected mayor Sir Peter and Lady Fran Jackson would not be influencing what happened within the new council.
"We haven't had any policy discussions whatsoever. I think what he and Fran have done is to back me because they believed in me.
"They saw what I was standing for and on the Shelly Bay issue I've been standing against what's currently proposed for four-and-a-half years so long before they said anything at all, so I'm just being consistent with what I've always been saying.
A review of the project had been on the cards since 2017 when the council voted to sell and lease the land to The Wellington Company for development. Foster has previously said he wanted to investigate how the council had done its job in making the area a Special Housing Area.
Foster, who's been a councillor since 1992, has said previously he had a budget of $56,000 for his campaign compared with his main rival's spend of $21,000.
He said it was only half what Lester had spent to win the mayoralty at the last election so the incumbent had no grounds for complaint.
The Jacksons were not the only backers who believed in what Foster was campaigning on, he said.
"To be clear it's Peter and Fran [Jackson] and also several other substantial donors as well. I think people have said to me they wanted a change...
"You do need support like that to be able to run a campaign when you're challenging an incumbent who has all the advantages of office and also a substantial political party behind him."
Foster said he wanted to be mayor so he could lead a team, and one of his most important jobs would be to introduce the budget which would be much easier to influence as mayor.
Lester told Insight that while he knew special votes tended to favour the left, "at 700 votes down, I'm realistic, that's a big turnaround."
He said it was ironic that Wellington's troubled bus system had made a difference, because voters were frustrated with it.
"...People haven't understood potentially that Wellington City doesn't run the buses"
He said while it might have politically expedient to criticise the regional council, it doesn't help relationships and "is not the right thing to do".
He spent Saturday evening with friends and family, and celebrated other Labour candidates who have been elected.
He said whatever the outcome, he wished the best for the council, because he also wanted the best for Wellington.
-RNZ