Dalila Jakupovic suffered a coughing fit on the court and was forced to withdraw from her Australian Open qualifying match.
Maria Sharapova said officials made the right decision in stopping her Kooyong Classic match against Laura Siegemund.
Players will not be put at risk at the Australian Open, tournament director Craig Tiley said.
Poor air quality in Melbourne has already impacted the Australian Open, where qualifying is scheduled to begin on Tuesday.
The ITF has joined with three of the four grand slams to pledge further funds to the bushfire relief effort in Australia.