A site-management plan is being devised for the city in response to claims that chuggers pose a nuisance to shoppers and traders.
Peter Stocker, secretary of the city's North Laine Traders Association, said one of the traders' main concerns was groups of chuggers obstructing the narrow streets and hovering around doorways. He said it would help "if they could move around at key intervals".
Mike Aldridge, chief executive of the Public Fundraising Regulatory Association, said this would depart from the usual practice. "The feeling is that fundraisers should be standing so people know where they are and can avoid them," he said.
Aldridge and the traders joined Brighton Pavilion MP David Lepper in the city last week to discuss the issue.
Lepper - a strong critic of face-to-face - will oversee moves to develop a site-management plan for Brighton and Hove City Council.