The 37-year-old copped a heavy knock to the knee while batting in the nets on Sunday, ending his session early.
When asked about his fitness on Tuesday, Rohit simply replied he was "fine".
The veteran was also evasive when questioned about where he would be batting in the fourth Test of the Border-Gavaskar series.
After missing India's opening Test win in Perth due to parental leave, Rohit batted at No.6 in Adelaide and Brisbane instead of his usual role as opener.
In place of Rohit at Optus Stadium, KL Rahul thrived at the top with young star Yashasvi Jaiswal and India were hesitant to break up that opening partnership.
KL Rahul has been one of the real success stories for India this summer. (Jono Searle/AAP PHOTOS)
But Rohit has made scores of 3, 6, and 10 at No.6, leading to speculation he could return to opening in what may be his final series as a Test player.
"Let's not worry about that," Rohit said.,
"I think who bats where is something that we need to figure out within ourselves.Â
"It's not a thing I should be discussing at every press conference, where I'll be batting.
"Whatever it takes for our team to look good or gives us the best chance to succeed, we'll try and do that."
Rohit insisted he was not worried by the form of superstar Virat Kohli, who has been out in similar fashion since scoring a second-innings century when India were in total control in Perth.
Kohli fell for 7 and 11 in Adelaide, while he was out for just 3 at the Gabba last week.
"Modern-day greats will figure out their own way," said Rohit, who didn't have any advice for Kohli.
India will return to a happy hunting ground, having won their past two Tests at the MCG, and not lost there since 2011.
In 2018, India smashed Australia to ensure they retained the Border-Gavaskar Trophy, while in 2020 they pulled off an improbable victory just a week after being humbled in Adelaide.
A third-straight Test win at the MCG would mean India goes up 2-1 in the series and again retains the trophy for another three years.
"After three Test matches, if I had to look at it being one-all, it's a fair reflection of how both teams have played," Rohit said.
"There has been solid cricket being played by both teams."
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