Joseph made his only field-goal attempt from 20 yards and converted all three of his PAT tries in Sunday's 32-20 win over the Dolphins.
The Jets will sign Joseph off their practice squad Tuesday and have him handle kicking duties in Sunday's game against the Dolphins, Jeremy Fowler of ESPN.com reports.
Joseph agreed to a contract Tuesday with the Jets' practice squad, according to a social media post from his agent, Brett Tessler.
Joseph will serve as the Commanders' kicker in Sunday's game at New Orleans with Zane Gonzalez (foot) inactive for the contest, Nicki Jhabvala of The Washington Post reports.
The Commanders signed Joseph to their practice squad Friday.
The Browns hosted Joseph (abdomen) for a tryout Wednesday, Aaron Wilson of KPRC 2 Houston reports.
The Giants waived Joseph (abdomen) from injured reserve Thursday after reaching an injury settlement, Aaron Wilson of KPRC 2 Houston reports.
The Giants placed Joseph (abdomen) on injured reserve Saturday, Jordan Raanan of ESPN.com reports.
Joseph (oblique) won't play Sunday against the Commanders, Dan Duggan of The Athletic reports.
Joseph went 4-for-4 on field-goal tries and didn't attempt an extra point Monday in a loss to the Steelers.