Landry was held out of OTAs as he dealt with a heel issue he said was unrelated to the Achilles problem. He said back in June he was "shocked" by his recovery progress.
The Jets can take Landry off the PUP list at any time, though he must miss the team's first six games if he's still sidelined by the season opener.
The Jets can't be shocked if Landry's absence lingers, and injury-related provisions in the contract the team signed him to speaks to that. New York signed 34-year-old Yeremiah Bell as a fallback plan at safety, but the team could find itself in trouble if Landry goes AWOL and Bell alongside holdover Eric Smith are tasked with covering the Rob Gronkowskis and Aaron Hernandezs of the world.