Advent Holdings is expected to float on the London Stock Exchange's Alternative Investment Market (AIM) on Friday, reports said.
It is set to become the second Lloyd's insurer to float on AIM this year.
Advent aims to raise more than the £20m raised by Omega with its £45m flotation at the beginning of May.
Reports said capital backing from Fairfax is likely to be withdrawn at the end of the year.
Names financial support for the Syndicate is also expected to decline, reports said.