Norman says "you only have to look at what happened to Vijay Singh just recently to know the drugs issue is there."
Singh admitted in a magazine interview in January that he had used deer antler spray, which contains IGF-1, a muscle-building hormone banned by the PGA Tour. It can be detected only by blood tests.
Norman, who was back in Australia at the weekend for his golf-course design work, told the Australian newspaper "if you really want to be serious about it and find about what's really going on, we need to do blood testing. I think it's disgraceful, to tell you the truth."