Rohit served his quarantine in Sydney after reaching Australia on December 16.
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According to a report published in ANI, the third Test is also likely to be hosted by the Melbourne Cricket Ground, considering the recent outbreak of COVID-19 cases in Sydney.
"Yes, he [Rohit] will be flown to Melbourne by CA on Wednesday as the third game is almost set to take place at the MCG (Melbourne Cricket Ground) with an eye on the coronavirus outbreak," sources in the know of developments within Cricket Australia told ANI.
In his Instagram story, Rohit also shared a picture on Tuesday (December 29), hinting that he will join the Indian camp a day later.
Last week, Cricket Australia's interim CEO Nick Hockley had said they have "strong contingency plans in place" if the situation in Sydney goes out of hands while reiterating that everyone's safety is their biggest concern.
"Should the public health situation in NSW render playing in Sydney untenable, CA's preferred contingency plan is to work with the Victorian Government to play the third Test at the Melbourne Cricket Ground followed by the fourth Test at the Gabba," CA had said.
"We have always maintained that scheduling a full summer of cricket during a global pandemic would require agility, problem-solving and teamwork like never before. We continue to place the safety and wellbeing of everyone involved as our number one priority. The record testing numbers and the drop in new community transmissions in NSW have provided cause for optimism, however, if the situation in Sydney deteriorates, we have strong contingency plans in place," Hockley had said in a statement.
The third Test is scheduled to be played from January 7 to 11 while Gabba is slated to host the fourth Test from January 15 to 19.
(Inputs from ANI)