Rosset injured his right hand punching an advertising board after the Swiss team squandered four championship points in the 10th game of the final set of the decisive mixed doubles. He played two more points before the pain forced him to forfeit.
The Olympic champion may now miss next week's Peters International tournament in Sydney and the Australian Open, which begins on 15 January in Melbourne. He will undergo a bone scan in Sydney today.
Goran Ivanisevic and Iva Majoli trailed Rosset and Martina Hingis 3-6, 7-6, 5-5, 0-30 when Rosset signalled that he could not continue. Hingis earlier defeated Majoli 6-3, 6-0 before Ivanisevic defeated Rosset 7-6, 7-5 to level the contest.