Drinkhall, a three-time European junior champion and double Commonwealth medallist, sealed his passage to the third round with a 4-1 victory (11-7 11-7 11-8 4-11 11-9) over his opponent ranked 53 places above him.
The 22-year-old believes winning the first set was crucial to the victory while admitting he feels he is now in the best shape of his career.
“I knew I could unsettle him if I won the first set, and I did that,” he said. “I then felt on top for the rest of the match.
“He did come back at me and won the fourth set, but right now I’m in better shape than I’ve ever been in.”
The 22-year-old flew out of the blocks securing the opening three games in double quick time before the Singaporean hit back.
But the former world junior silver and bronze medallist, who will also compete in the team competition later in the event, responded in the fifth game to wrap up the win and move into the next round.
The victory ensured that the world number 107 will now face Germany's eighth seed Dimitrij Ovtcharov but Drinkhall is confident he can put on a good show.
“I feel that although Ovtcharov is much higher-ranked than I am I hope I can give a very good account of myself tomorrow,” he said.
Earlier Drinkhall’s girlfriend and fellow Team GB table tennis singles player Joanna Parker fell at the second round hurdle losing in five games to Germany's Kristin Silbereisen.