Deputy Prime Minister Barnaby Joyce wants the legally-available five-shot Adler A110 shotgun to be placed under greater restrictions.
As debate continues surrounding an import ban on the controversial seven-shot version of the gun, Mr Joyce said the five-shot version, which is available in Australia, should be placed in a more restrictive category.
The weapon is classified as category A, making it available to recreational shooters but Mr Joyce says it should be listed as category B, restricting its use to farmers.
"I don't want to make it so they are virtually impossible to get. I believe they should be slightly higher rated than they are at the moment," Mr Joyce said.
"I think category B is better than category A."
The seven round Adler A110 was banned in mid-2015 amid police concerns about a plan to bring large numbers of them into the country.
Key crossbench senator David Leyonhjelm is attempting to have the seven round version made legal.
He says he struck a deal with then-prime minister Tony Abbott that the ban would be lifted after 12 months.
