Simon, New York's seventh round selection in the 2015 draft, played four seasons at Northwestern State.
In 35 games with the Demons, Simon had 93 total tackles, with 13 1/2 coming for loss. He was limited during his senior season by a knee injury.
Simon, who had five tackles and one sack in the preseason for the Jets, had yet to appear in a regular season game this year.
The 25-year-old signed a four-year, $2.35 million rookie contract in May, which guarantees him $73,296.
The Jets (2–1) will face the Dolphins (1–2) on Sunday in London.
- Kayla Lombardo