The Jets lost to the Minnesota Vikings 30-24 in overtime on Sunday, dropping their record to 2-11.
"I'm responsible for this, and I'll tell Woody and our fans and everybody else: This is on me," Ryan said after the loss, according to ESPN.
"Obviously, I deserve a lot of criticism for the way this team has performed this season," the coach continued. "I get that, no question, but Woody doesn't. The Jets are in good hands with him as the owner, that's for sure."
Johnson hired both Ryan and general manager John Idzik. Ryan has been with the team since 2009, leading the Jets to two AFC Championship game appearances but failing to make the postseason since 2010.
The Jets play at the Titans on Sunday.
- Josh Sanchez