The first Test of the summer at Australia would reportedly be played at Adelaide, with Brisbane likely to host the second Test following marathon negotiations with the Australian and Indian cricket boards.
The Gabba Test, initially scheduled to start on Thursday, has been put back due to the funeral of late Australian batsman Phillip Hughes.
The Adelaide Test, now the first of the summer, is scheduled to start on Friday but it is understood that fixture would be moved to earlier in the week and the Sydney Test back a few days to accommodate the Brisbane Test being slotted in ahead of the Melbourne and Sydney fixtures over the Christmas-New Year period, News.com.au reported.
Melbourne is set to be the only Test with an unchanged date.
The staging of the Brisbane Test in between the Adelaide and Melbourne Boxing Day clashes would place a high workload on the players with few rest days in between. One possible scenario would include the Sydney Test, due to start on January 3, being moved back a few days.
Australia's ODI series against India and England is due to start on January 16 when Australia hosts India at the MCG.
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A Cricket Australia spokesman said that they are continuing to work through a range of scenarios related to the Test match, adding that as soon as they have confirmation they would let the Australian public know as a priority.
He said that they appreciate the Australian public's patience in these extraordinary and difficult circumstances.
Earlier on Monday, India's squad chose to stay in Adelaide rather than head to Brisbane, as was originally scheduled, as uncertainty surrounds the scheduling of the Gabba Test.
Australia was due to host India in the first Test of the four-match series in Brisbane on Thursday, but CA announced last week that the match wouldn't start as scheduled because the players needed time to deal with the shock passing of batsman Hughes.
Players from both Test sides would attend Hughes' funeral in Macksville, NSW, on Wednesday.
A CA spokesman revealed that they are remaining in Adelaide until details for the first Test have been confirmed.
Australia's captain Michael Clarke and his Indian rival Virat Kohli would both attend Wednesday's funeral for Hughes as cricket remains at a standstill following last week's shock passing of the popular young Test batsman, the report added.