"We cannot have our players being traumatised by police investigations if they are on a cricket tour," UCBSA president Ray Mali told the SABC Radio News.
He said the Board's CEO Gerald Majola was currently negotiating with the Board of Control for Cricket in India (BCCI) about the situation regarding the two players.
South Africa are scheduled to tour India in October-November to play seven One-dayers, their first tour to the country after the infamous 2000 series when the match-fixing scandal broke out.
Mali's comments come in the wake of recent statements by the BCCI president Jagmohan Dalmiya and New Delhi police commissioner K K Paul.
Dalmiya had said on Wednesday in Kolkata that BCCI could not interfere with police investigations and give an assurance to UCBSA that the South African players would not be interrogated.
Paul had said match-fixing investigations involving Hansie Cronje, Gibbs and Boje, had not yet been closed.
Cronje, the former South African cricket captain who was accused of match fixing during the 2000 tour, died in a plane crash two years ago.