A three-pronged spin attack did the trick against West Indies on Thursday but the team are keen to try out other options for the day match in Mohali, which traditionally offers more bounce than most Indian tracks, Barnes said.
"Obviously we got to look at the conditions in the matches coming up. Morning (conditions) and freshness of wicket do come into play," Barnes told reporters after the team's practice session at Services Cricket Ground.
"Going forward, obviously it (three spinners) will be an option but that does not mean it would be the only option."
"You got to consider that Mohali has a little more bounce."
Asked which spinner would warm the bench in that case, Barnes said, "I can't say that... it's about getting the best of type for the conditions and look at the balance of the side."
Left-arm pacer Tsosobe would be the obvious beneficiary if his team opts not to field three spinners again.
"He is a very skilful bowler, the big advantage is that he is tall and gets good bounce," Barnes said of the towering paceman who turns 27 on March 7.
"He is one of our best bowlers in the past six months. It's just a pity that we had to keep somebody out and play three spinners."
Many believe Peterson might have to pave way for Tsotsobe but the left-arm spinner has strong objections to being called the third spinner in the side.
"I don't think we have spinner number one, two or three. We all got different roles to perform," said Peterson, who hopped into a tuk-tuk to visit the tomb of Mughal emperor Humayun on Saturday while most of his team mates went to Agra to see the Taj Mahal.