The 38-year-old Australian was told by doctors that the condition made it unsafe for him to fly to Australia.
Elkington, who tied for 69th at the AT&T Pebble Beach National Pro-Am on Sunday, was diagnosed with fluid behind the ear while competing in the PGA Tour event in California.
Elkington has captured 10 titles on the PGA Tour, among them a victory in the 1995 PGA Championship at Riviera Country Club. But he made only 17 starts in 2000, the least number of appearances since he started playing on tour full time in 1987.
On top of his chronic sinus problems, Elkington suffered an injured wrist in April of last year and in August underwent surgery to repair a torn hip and ball socket.
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