Simona Halep will undergo surgery on her nose and hopes to be back in time to defend her title at Indian Wells in March.
Halep, ranked second in the world, lost to qualifier Zhang Shuai 6-4, 6-3 in the opening round of the Australian Open on Tuesday.
"The last six weeks have been extremely difficult for me, as I've been dealing with infections in my stomach, nose and ear," Halep said in a post on her Facebook page. "This has been one of my most frustrating periods, as I've not been able to train or stay healthy even though I've constantly been on antibiotics to help clear the infections.
"I gave it my best shot in Australia but, with the infections still in my body, unfortunately I made things worse, as I pushed myself to compete and fight in a grand slam."
The Romanian will miss next week's Fed Cup match against the Czech Republic and will also skip the tournaments in Dubai and Doha.