Nann said the council’s Homelessness and Rough Sleeping Strategy 2025 to 2030 focusses on early intervention services.
“We made a significant investment in this area and will continue to do all we can to support people in secure, affordable and quality housing,” he said.
The local authority said it was working to reduce the pressure on the budget by £5m, including increasing the supply of temporary housing by block booking accommodation rather than spot-purchasing, which is more expensive.
The council added it was also working to accelerate moves from temporary homes to social housing by forming a new advice team to assess families.
Last month, it said it was reviewing its portfolio of land, property and other assets, with a view to raise £30m in the next three years.
This included properties such as the old Slipper Baths, in Barrack Yard, which could be turned into housing.
In October, the cabinet agreed to buy 13 homes for temporary housing to save £164,000 a year.