Fleetwood, winner of the 2009 Scottish Open Amateur and a quarter-finalist at last year's British Amateur, accounted for Monash's Andrew Thompson during today's second round.
Fleetwood is set to encounter Jin Jeong in Wednesday's quarter-final, a match that is sure to be a stern test for the Englishman, with Jeong already experiencing victory this year winning the Boroondara Cup in Victoria last month.
Luke Henwood will meet Luke Humphries in the other quarter-final in the bottom half, after Henwood accounted for Matt Stieger, 1-up. Humphries progression to their match was a little easier winning his second round match against Theo Coroneo, 5&4.
In the upper-half of the draw, Brett Drewitt ended Michael Williams' runs at the championship, defeating the 2010 NSW Medal Champion and number 1 qualifier, 1-up in their second round match.
Drewitt will meet Patrick Wilson in the first quarter-final, after Wilson's 2-up win over Kyle Grant.
The last quarter-final match will see Alex Pitty against Jake Higginbottom, with Higginbottom advancing with a 4&3 win over Scotland's, Fraser Fotheringham. Pitty accounted for Jamie Hook, 4/2 to set up his match against Higginbottom.