The man on whom the Turnbull government may have to depend to form a minority government in Canberra wants to restrict migration to just three groups, with Muslims left off the list.

Bob Katter, fresh from a marathon 2½-hour meeting with Prime Minister Malcolm Turnbull in Brisbane on Thursday, said he wanted to see immigration reduced to "virtually nil", except for people in some persecuted minority groups.

Bob Katter, who could prop up the Turnbull government in the next Parliamentary term, wants to limit migration. Credit:Robert Shakespeare

Having been asked about Senator-elect Pauline Hanson's inflammatory remarks about Muslim migration, Mr Katter said migration should, ideally, be confined to Sikhs, Jews and Middle Eastern Christians.

"I had a Sikh in his turban and a Jewish assistant rabbi, with his beard, on either side of me," he said, during a meandering 50-minute media conference on Thursday.