Jones-Drew, however, disputes a report that he was fined $800,000 for the 38-day holdout.
"Make sure you guys report that was false," said Jones-Drew, according to The Florida Times-Union.
CBS Sports' Jason La Canfora reported Sunday that Jones-Drew's agent, Adisa Bakari, negotiated $1.6 million in fines down to $800,000 as part of the end of Jones-Drew's holdout.
Jones-Drew hoped to leverage his way to a raise after leading the NFL with 1,606 rushing yards in 2011. The Jaguars refused to alter the five-year, $31 million deal he signed in 2009.
Jones-Drew rushed for 77 yards on 19 carries in Week 1 against the Minnesota Vikings despite not participating in the preseason, and concerns he would need to be eased back into the offense were unfounded.
Follow Kareem Copeland on Twitter @kareemcopeland.