Hudson is re-signing with the Bengals, Jeremy Fowler of ESPN.com reports.
Hudson caught one of his two targets for five yards in Saturday's 34-11 loss to the Steelers.
Hudson had five catches for 49 yards on five targets in Saturday's overtime win over the Vikings.
Hudson put the Bengals ahead on Sunday in the third quarter of their win against the Colts with a short touchdown catch and netted two catches for 21 yards on the three targets.
Hudson played 13 of the Bengals' 43 snaps on offense and finished with four catches for 18 yards on five targets in Sunday's 16-10 loss to the Steelers.
Hudson had four catches for 49 yards on four targets in Thursday's loss to the Ravens.
Hudson secured six of seven targets for 33 yards in Sunday's 30-27 loss to the Texans.
Hudson had four catches for 45 yards on five targets in Sunday night's win over the Bills.
The Bengals signed Hudson off their practice squad Wednesday.
The Bengals elevated Hudson to their active roster Saturday.