Even though Edwards criticized New York's organization last week, multiple league sources said the Jets will consider bringing back their former wide receiver, either by claiming him on waivers or signing him if he clears them.
On Tuesday, the Jets released running back Kahlil Bell to make room on their roster for a wide receiver, a league source said.
The Jets are down to only two healthy receivers that began the season on their roster -- Chaz Schilens and Jeremy Kerley. Clyde Gates is also still recovering from a concussion. They also have Mardy Gilyard, whom they recently signed off the street.
Coach Rex Ryan was asked Monday if they might consider Edwards.
"You guys know what I've always said about Braylon in the past, so you know how I feel about him," Ryan said. "But right now, I think we'll just focus on the guys we have."
Now, with the Jets trying to seize the AFC's last wild-card spot, they are in need of receiving help. Edwards is getting serious consideration, despite the events of last week.
While the Jets were embroiled in which quarterback to start, Edwards tweeted: "Don't blame Sanchez. I played there. Blame the idiots calling shots. Mark is a beast and will prove it when given a proper chance."
The next day, Edwards took it all back on Twitter.
"I would like to apologize to the Jets family and my fans for my emotional outburst. Mark is a friend and former teammate, who I wholeheartedly support. Nonetheless, I have disrespected and insulted an administration that I have the utmost respect for," he wrote.
Now he might wind up playing again for the administration he insulted and praised on back-to-back days.
ESPNNewYork.com's Rich Cimini contributed to this report.