Jones, the 2015 Australian Open Champion, produced a final round of 67 in Dallas to tie with four others, six shots from the impressive first PGA Tour win of Korea’s Sung Kang.
A final hole bogey proved very expensive for Jones, dropping him from 5th place outright into a five-way tie for 5th.
It was, however, a continuation of a season which has seen the 39-year old former Sydney golfer now miss only one cut in 11 starts.
Jones was bogey-free on the final day moving to 5 under for the day and clear in 5th position before missing the green at the last and failing to get up and down.
Having regained his PGA Tour card via the Web.Com Tour Finals last October, Jones' finish this week will move him inside the top 100 on the FedEx Cup standings and go a long way to ensuring he retains his status for 2020.
The winner Kang has also been consistent in 2019, missing only two of 11 cuts to date, but this win and the riches it offers elevates him to a new level on the PGA Tour and surpasses his previous best finish when runner-up at the Houston Open two years ago.
Scott Piercy and Matt Every finished one shot behind the winner in what was essentially a three-way shootout for much of the day, extended because of the need to catch up on lost time caused by inclement weather on Friday.
Cameron Davis finished as the next best Australian in 35th place, while Curtis Luck was 43rd after bogeys at his final two holes.
The PGA Tour now moves to New York for this week’s rescheduled PGA Championship at Bethpage Black.
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