Adam Zampa tested negative for Covid-19 and expected to play against England.
Wade is believed to be suffering only minor symptoms and, unless his condition deteriorates, is still expected to feature in Friday's high-stakes match against England at the MCG. Australia had Josh Inglis in their side as the backup keeper, but he suffered a hand injury while playing golf and was replaced in the squad by Cameron Green.
There was some intrigue at Australia's training session at the Junction Oval indoor nets on Thursday afternoon when Glenn Maxwell put wicketkeeping gloves on and did drills with assistant coach Andre Borovec, a former first-grade gloveman.
World Cup rules permit players who have tested positive to continue playing. But Wade will have to travel separately to the ground and will not be able to use the team changeroom prior to or during the game.
On the other hand, Adam Zampa tested negative for the virus and will be available to play in the game against England.
Australia lost to New Zealand in their first match and then defeated Sri Lanka in their next match.
(cricket.com.au inputs)