The 61-year-old MP refused to be drawn on whether that development was accelerating his interest, saying what Mr Brown did next was "entirely up to Len".
"I've got no advice that it would be proper to give," he said.
"I've worked with Len over the time he's been mayor and he's had significant achievements and he's going to have to make up his mind about what he does, and he'll do that without gratuitous advice from anybody else."
"He's obviously had a rough six months or so and he'll have a whole lot of things he'll want to take into account.
"He's passionate about what he does and at the same time he also understands politics, so he's entirely able to make up his own mind and reach his own conclusion."
Mr Goff would not comment on whether he believed the mayor was hamstrung while he and his councils had been "blindsided" by officials, as implied by potential right-leaning mayoral candidate Michael Barnett, chief of Auckland's Chamber of Commerce.
But he said Auckland needed strong leadership while facing a raft of pressing issues, transport and housing being foremost among them.
Although the MP indicated he had several options ahead of him, including offers from the private sector as well as staying in Parliament, he acknowledged he would "obviously" have to make up his mind on the mayorality before the end of this year.
"With the election next year, and I've been given responsibility [by Labour leader Andrew Little] for Auckland issues, I'm spending quite a long time thinking about Auckland issues," he said.
"And there are a lot of discussions I want to have and a lot of thinking through of the sort of difference that I might or might not be able to make if I was in that position."
"Six months ago I would not have thought at all about even entertaining the idea [of contesting the mayoralty] but I have had quite broad-based support for running and have just given an undertaking to those people who have approached me from right across the community that I would consider it seriously, and that's what I'm doing."