"He's obviously a lot better than he was on Monday," England wicketkeeper Jos Buttler was quoted saying by the Australian Associated Press.
"He's up and about so I think a few more days and his bug should have gone. He's a huge part of our side so we're desperate for him to be fit and well. I'm sure he will rest up and try and get his energy back."
Ahead of a busy international schedule, including home test matches against India and Pakistan, England coach Trevor Bayliss has urged Root to skip the 2018 Indian Premier League.
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Root, however, remains keen to play in limited overs competitions to prepare himself for the next year's 50-over World Cup in England.
"We had that discussion a few days ago, I suggested to him that he shouldn't play, that he should have a break," Bayliss was quoted as saying by British media on Tuesday.
"He feels that whenever he's had a break in the last couple of years, it's always been a T20 series. He wants to play in 50-over World Cups and T20 World Cups.
"He thinks if he keeps missing all the T20 cricket he's just going to fall behind and not be up to speed when those come along. There are difficult decisions to make."
England are scheduled to play five one-day internationals against Australia followed by a Twenty20 tri-series with the hosts and New Zealand which starts on Feb. 3.
(Reporting by Hardik Vyas in Bengaluru; Editing by Ken Ferris)
