Jones was nearing a return to play after suffering an Achilles injury earlier this year, a setback that followed a period of personal leave for the 28-year-old during the pre-season.
The club confirmed on Tuesday that Jones will require further time in the club's casualty ward after straining his quad just weeks out from a return through the VFL.
“We're really feeling for Zak, who has done everything possible during his injury rehab,” Acting General Manager of Football David Misson said in a club injury update.
“It's no doubt a frustrating result given how diligent and patient he's been while building his fitness back up, but he has our full support as he undergoes the next phase of his recovery.”
Jones' setback comes as senior coach Ross Lyon prepares to shift his magnets for the Siants' Round 10 clash with GWS, with forward Tim Membrey set to miss the trip to GIANTS Stadium due to concussion.
Key forward Max King is in the frame to replace Membrey and return from pre-season shoulder surgery, while defender Jimmy Webster is also in the mix after a successful return for the Sandringham Zebras over the weekend.
Webster, who was sidelined after suffering a fractured cheekbone, could come into Lyon's side as captain Jack Steele (knee) and Jade Gresham (knee) both look to prove their fitness in the coming days.
“It's pleasing to be getting some soldiers back before the bye,” Misson said.
“Max had a really solid session at the club on Sunday and will train with the full group this week.
“We expect both Max, Jade and Jimmy to be available for selection.”