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The Jets have signed punter Thomas Morstead, who announced his signing on social media.
Morstead, 37, spent last season with the Dolphins, signing with them on a one-year deal a year ago.
He averaged 46.4 yards on 61 punts with a 40.5-yard net and saw 45.9 percent of his kicks downed inside the 20.
Morstead punted for the Jets in seven games in 2021, averaging 48.2 yards on 23 punts with a 43.0 net.
The Jets re-signed veteran kicker Greg Zuerlein earlier this week.
The Dolphins hosted former Patriots punter Jake Bailey on a visit Friday and later signed him.