Gibbs and teammate Nicky Boje fear interrogation by Indian police in connection with the match-fixing scandal that rocked the cricket world in 2000.
United Cricket Board of South Africa (UCBSA) spokesman Gerald de Kock said the call on whether to tour rested with Gibbs.
De Kock also said the UCBSA did not yet consider Gibbs unavailable because there was a possibility the Indian police could assure the Board that the player would not be arrested, media reports said on Wednesday.
The UCBSA has so far not received any answer from the Indian police on the matter.
"It won't be a black mark against his name if he doesn't tour. But it's still not definite that he won't go to India," De Kock said.
After the King Commission inquiry into match-fixing, Gibbs was banned from cricket for six months and fined Rand 60,000.
Recently Gibbs and Boje answered an Indian police questionnaire relating to the team's tour of India in 2000.
The team for the series against India is to be selected next week and although Gibbs seems to be off form, he is a certainty for the tour.