A spokeswoman said Ms Bennett did not have time to go to the marae 9km south of Mt Eden at Mangere Bridge.
"I'm concerned that it's going to turn into a media circus rather than what was intended, which was to have an in-depth discussion about what the marae needs," the spokeswoman said.
"The minister does actually have a very full day tomorrow because it's her only day in Auckland once a week so she packs a lot in."
She said Ms Bennett did not need to tour the marae to understand the issues Mr Dennis was grappling with.
"She knows already about the issues there, but she wants to have a discussion with him about it and there is an opportunity to have that away from the marae."
Mr Dennis declined to comment before the meeting.
The marae has given shelter to almost 60 families and individuals since it opened its doors to the homeless on May 24.
Ms Bennett said yesterday that she was considering pre-purchasing Auckland motel rooms to shelter homeless people through the winter. She said 100 rooms could easily be filled within a week.
- additional reporting Nicholas Jones