"I think he's going to be here, yeah," Carroll said, according to ESPN.com's Brady Henderson. "That's what I'm counting on it."
Carroll's comments came amid speculation that Schneider could leave for the Green Bay Packers after they announced general manager Ted Thompson will transition into a new role as the franchise's senior advisor to football operations.
Schneider, 46, hails from De Pere, Wisconsin, and previously spent time working for the Packers.
After briefly interning with the team, Schneider served as one of the Packers' pro personnel assistants between 1993-96. He re-joined the Packers in 2002 as a personnel analyst to the general manager and was eventually named Thompson's director of football operations in 2008.
Schneider was then hired as the Seahawks general manager in January 2010—a role he's held for the last eight seasons.
The two sides agreed to terms on a five-year extension in July 2016 that reportedly pays out close to $3.75 million annually, per ESPN.com news services.
During his time in the front office, Schneider has helped lead Seattle to a record of 79-48-1, a pair of NFC championships and a Super Bowl 48 title.