While Virat Kohli will lead the side in his absence, Dinesh Karthik will perform the duties behind the stumps.
The Indian skipper had suffered a strain on his left side during the second Test against Black Caps in Wellington and will now undergo rehabilitation for ten days. The Indian team arrived in Mumbai earlier in the day, after losing yet another overseas Test series.
Asia Cup will be played in Bangladesh from February 25 to March 8. India will play their first match against the hosts on February 26.