Western Australia Premier Colin Barnett is not keen on supporting a shark cull even as at least one scientist has said it is likely that a great white shark had attacked and killed Peter Kurmann the past weekend, WA Today reports.

A Fisheries scientist had informed police that it is highly likely a shark was responsible for Mr Kurmann's death.

Still, Mr Barnett said he would reconsider only if the population of potentially deadly sharks was found to be multiplying.

"I am not advocating culling at all but I think there may be some scope, depending on the results of the research project, to allow increased fishing of shark which used to happen and has been restricted for various reasons," Mr Barnett told the media, adding, "If the population of sharks is multiplying and growing, then I don't think those restrictions should be so restrictive."

City of Busselton President Ian Stubbs, who was a friend of Mr Kurmann, said on Saturday the attack has "gone too crazy," and this should be enough to warrant a culling.

"How many more of these tragic deaths can we continue to have? It's far too many," he told the local media, adding, "If they (sharks) have attacked humans, they should be destroyed."

WA Today reported another great white shark threat off the coast of Kalbarri, 600km north of Perth. A shark in the area has reportedly bitten a propeller. This happened only a day after Mr Kurmann's death, as reported by a Fisheries spokesman to AAP.

Saturday's fatal attack was the fourth in WA since September 2011, prompting WA Fisheries Minister Norman Moore to announce almost $14 million in funding ways to avoid shark attacks, including $2 million for boosted aerial beach patrols and $1.7 million for four shark-related research projects.