Sutherland's revelation comes after the BCCI has already announced that the Indian team will play its first ever day-night game against New Zealand during the home series in October-November.
"I think there is certainly some positive signals coming out of India and other parts of the world (regarding day-night Tests)," Sutherland told Big Sports Breakfast radio.
"Indicatively they have started to talking to us about the prospect of playing a day-night Test match against Australia when Australia tours in February and March of next year. That is just a pretty strong indicator of where things are at.
The idea of Test cricket under lights has been gaining momentum ever since the first ever day-night match was played between Australia and New Zealand last November.
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However, there have been concerns over the use of pink balls and South Africa star batsman AB de Villiers too has expressed apprehension about playing a day-night Test when they tour Australia next year.
"I thought if there was two millimetres less grass (on the pitch) it would've been a four-day game instead of a three-day game," Smith said on Back Page Live.
"The ball still has got a few issues. You need to keep grass on the wicket to keep the ball together, which I don't particularly like, but we are trying to work our way though that as much as possible to make sure we keep it going," he added.