Baker's agent, Jonathan Feinsod, told the New York Daily News on Wednesday that the team fined Baker $3,000 for missing an injury-treatment session at last week's mandatory camp. The tight end plans to appeal, according to the newspaper.
Baker, who passed on voluntary workouts during the offseason because of a contract dispute, injured his back during warm-ups on the second day of minicamp.
Baker, who has asked to be traded, made it clear he wasn't happy with his contract from the get-go.
"If the situation was better, of course I'd want to be here, but the way things are right now, I really don't have the desire to be out here right now at this moment," said Baker on the first day of minicamp Thursday.
Baker insists the Jets told his former agent, Cliff Brady, before last season that they would look into redoing his contract. His deal currently has two years remaining and pays him about $1.65 million a year.
The Jets, however, have refused to budge on Baker's deal, despite the tight end registering career highs with 41 catches and 409 yards last season.
Information from The Associated Press contributed to this report.