Boyd was listed as being in a critical but stable condition when taken to hospital after the shooting and said he was “starting to breathe on my own now” on 19 November.
“The last that we heard is he had an issue and he had to go back into the hospital,” said Jets coach Aaron Glenn. “Other than that, I need to figure that out.”
Prior to joining the Jets earlier this year, Boyd played two seasons with the Houston Texans, following one season with the Arizona Cardinals and four seasons with the Minnesota Vikings.
The cornerback had been on injured reserve for the Jets after suffering a shoulder injury during team practice in August.