Equipment at the 1970s Green Hotel in Kinross is so dated that it effectively becomes illegal in 2015, when new European regulations come into force.
Unless the facilities are upgraded, the rink will be closed down and the local club, which was established in 1668, made homeless.
Members of Kinross Curling Trust are seeking the support of major financial backers to secure the £1.1m to £1.8m required for a complete overhaul.
Some believe a new location should be sought to guarantee a long-term future for the sport.
Ambitious plans to build a national curling centre in the town's Market Park floundered due to planning and funding difficulties.
In a report, a spokesman for the trust said: "Time is running short. While works could be carried out in the summer of 2014, the extent of the problems with the current rink make it likely that we would need to phase works over two summers if curling is not to be seriously disrupted."
The proposals are set to be discussed in a meeting on November 24.