He was quoted as saying that he had met with managers of British private equity firmand "liked them."
Cavalli, famous for his animal print design, owns brands Roberto Cavalli and Just Cavalli.
In October, Cavalli told Reuters he would consider selling as much as 30 percent of his firm, which he valued at over 2 billion euros ($3.04 billion).
But since then, stock markets have declined and the global economy has weakened, reducing investor appetite for equity.
One banker familiar with the luxury goods sector said in March a valuation was then closer to one billion than two billion euros.
Cavalli's larger rivals, Prada and, are still planning to sell shares to the public this year, market conditions permitting.
This month, the Italian press quoted Prada Chief Executive Patrizio Bertelli as saying the Milanese fashion house wanted to list but was in no hurry.
(Reporting by Valentina Za, Editing by Toni Reinhold)