White, who is a runner-up six times in snooker World Championships, could not produce enough to live up to the challenge of his younger Indian opponent.
India's leading snooker professional, Advani started the match with a couple of misses to allow White to compile a 69 break and take the initial lead in the best-of-seven-frame encounter.
Advani then raised his level of snooker with some brilliant long potting to win the next three frames with breaks of 78, 55 and 63.
His next round will be against the winner of the tie being played between David Grace and Barry Pinches.
Results: Pankaj Advani (Ind) def Jimmy White (Eng) 4-2: 24-85(69), 104(78)-9, 70(55)-58, 103(63)-31, 28-71(54), 84-0.
