The club leases land from Ashburton District Council and that lease is up for renewal in 2028.
Ashburton Bowling Club president Jo Ryk said dozens of people through the door on Saturday backed the call for the club to stay where it is.
He said all the local bowling clubs and the wider bowls fraternity were of the same opinion.
Having 96 bowlers out on the greens for Friday triples in the season, and with the domain as a backdrop, was an impressive sight that bowlers did not want to see disappear.
The bowling club was well-used and a real community asset, he said.
"We’ve got a lot of history here and we want to create more history by staying put for the long term."
Mr Ryk said he was optimistic the club would not be moved on.
There was no budget for any relocation at this stage and, for the club, it could be a case of "stay put, or fold", he said.
Newcomers to the game of bowls enjoyed the opportunity for a roll up at the open day, with help and advice given by club members.
Ashburton Bowling Club has around 90 members and the club is 125 years old.
