Committee chairwoman Councillor Philippa Baker-Hogan said she did not sense any interest around the council table in progressing the matter further.
"Thankfully, prostitution in public places is not an issue I can ever recall being brought to my or the council's attention by the police or other [local] authorities," Mrs Baker-Hogan said.
"Long may that be the situation."
The bill follows almost a decade of trouble with street prostitution in areas of South Auckland such as Hunters Corner, Papatoetoe.
Prostitution became legal after the Prostitution Reform Act became law in 2003.
An attempt to outlaw all street prostitution in Manukau was defeated in Parliament in 2006.
Otara-Papatoetoe Local Board chairman John McCracken said the revised version of the bill provided for it to be banned only in specified places.
He expected such banned areas to cover only 5 to 10 per cent of Manukau.
"We are not a bunch of righteous whatevers, we just recognise there needs to be some regulation," Mr McCracken said.
"At the moment, we've got people frightened to come out of their homes at night because they have prostitutes working in their driveways."
Parliament's local government select committee is due to report back on the bill next month.
So far, four territorial authorities have pledged their support for the bill: Christchurch City Council and Waitomo, Rangitikei and Southland District councils.
Additional reporting - NZ Herald