The Fisheries Minister says an operation, which involved an imminent threat order being issued for South West waters, was a success, despite authorities being unable to catch the shark that sparked the alert.
The Department of Fisheries cancelled its imminent threat order earlier this week after it failed to locate the 3m to 4 m shark off the coast, near Dunsborough.
Norman Moore says nobody was attacked by a shark in the area while the department patrolled the area by boat.
"So that the decision was taken to try and capture that particular shark so we will look at every circumstance on its merit," he said.
"We're not about culling sharks.
"We're simply about getting rid of sharks that create a threat to human life and that's the whole reason for the policy.
He says Fisheries will continue the patrols whenever there's a threat to beachgoers.
"We don't have a navy sitting waiting out there to catch sharks if they might turn up," he said.
"If it turns out that the shark or a shark of that magnitude should reappear on those southern coastal beaches then the fisheries boat will go out and seek to catch it."