The Welsh ace, who has twice reached the semi-finals of the sport’s show-piece tournament, dropped just four legs as he set up a last 16 clash with Alan Norris.
“I played steady darts and I’m pleased to be through,” said Webster, the 2008 Lakeside Champion.
“It didn’t look brilliant but I got the job done. I’ve been working hard on getting my game right for a while now. I had issues with my technique which I’m still in the process of correcting but I’m making it work for me at the moment. The next match is a real opportunity for me or Alan and hopefully I’ll take it.”
Former Lakeside Champion Webster will return to action Wednesday evening as he bids to reach the quarter-finals.