Jones will be joined for the weekend by Geoff Ogilvy and Curtis Luck as the five other Australians who began the week failed to qualify for the final two rounds.
Brett Drewitt, Cameron Percy, Stuart Appleby, Greg Chalmers and Steven Bowditch were all outside the 1-under number required as Sebastian Munoz extended his advantage at the top of the leaderboard.
Munoz backed up his blistering Thursday 61 with a 3-under 67 to open a three shot lead over Americans Ben Martin and Hudson Swafford with defending champion Danny Lee part of a three-way tie for fourth at 8-under.
Jones holds a share of 22nd place at 4-under after recovering from a poor start to sign for an even par 70 to go with his opening 66.
The 2015 Australian Open champion was in trouble early Friday as he reeled off three consecutive bogeys from the third to the fifth to tumble down the leaderboard.
But back to back birdies at the 9th and 10th got things back on track and a birdie at the 12th to get back to even or the day moved him within touching distance of the top 10.
There was more drama in store for Jones, however, as his tee shot found water at the par-5 17th and led to a frustrating bogey before a brilliant birdie at the last to finish.
Fellow Australians Ogilvy and Luck had less adventurous rounds and at 2-under the pair are part of a 17-way log jam in T39.
Both players have traversed the Old White Course in 69 strokes each day, each recording three birdies and two bogies Friday.
At the top of the leaderboard Colombia’s Munoz, hunting his first PGA Tour victory, looked to be running away from the field when he went to the turn 4-under.
But he cooled on the way to the clubhouse with a back nine consisting of two bogeys and a birdie, the 24-year-old well on his way to his first top 25 finish of the season.
The feel good story of the week has been the veteran Davis Love whose opening 63 held the lead for most of the first day.
With his son also playing in the event, the 53-year-old appears to have found a new lease on life and remains well in contention after a 1-under second round to be just four from the lead and sharing fourth place.