Sideline reporter Jay Glazer said on the Fox Sports NFL pre-game show that Gonzalez considers the final years of his current contract voided.
If that's the case, the 10-year veteran, who was the Chiefs' top draft pick out of California in 1997, would be a free agent in the off-season.
"I would love to end my career here, but I'm a realist and know there is a real possibility I could end up hitting the open market," said Gonzalez. "We've had some talks; we both gave proposals recently, but we're pretty far apart."
Before Sunday's game against San Diego, he had one touchdown on 27 receptions for 325 yards this season.
In his career, the 6-foot-5 inch, 251-pounder has 57 touchdowns on 675 catches for 8,135 yards.
NBC reportedly holds celebs hostage to Jimmy Fallon's show
Millions of Getty images now available for free via embed tool