The Mzansi star is understood to have attracted interest from Al Masry, the Egyptian club that defeated Chiefs in the CAF Confederation Cup group stage opening game.
According to reports, Stellenbosch did not entertain the bid, as they want to keep their best talent.
"Stellenbosch FC have turned down a bid from North African side Al Masry for winger Devin Titus, as the club continues its strong stance on keeping one of their most influential players," reports indicated.
"Al Masry, who recently defeated Kaizer Chiefs 2-1 in their CAF Confederation Cup group stage opener, are understood to have submitted an offer with the intention of securing Titus when the transfer window reopens in January.
"The Egyptian outfit has been monitoring the 25-year-old’s progress for months and believed the timing was right to make their move," it added.
"Stellenbosch, however, have made it clear that Titus is not for sale, despite his current contract expiring at the end of the season."