The rock star wrote on his website that his doctor organised scans, the latest of which was today, after he complained of severe pain that affected his ability to stand up.
MRI scans showed there were “abnormalities in the bones”, leading to further investigation over the Christmas period.
May, who has been leading a campaign against the culling of badgers, said he was feeling optimistic despite the health scare as the results of tests so far have revealed no sign of cancer.
The 66-year-old said in a website post on December 28 that he started to get “bad pains in the backside” three months after having knee replacement surgery.
He said: “So around Christmas I’ve been having a succession of blood tests, ultrasounds, and various kinds of scans, to see if they could rule out various kinds of cancer.”
An update on brianmay.com yesterday thanked supporters for their kind words and said he would know more soon and was getting on with preparations for a forthcoming tour.