Jones, 34, is out of contract after a season and a half with the Revs, and faces a six-game suspension for making contact with referee Mark Geiger in last year's playoffs.
In December, Jones took to Twitter to complain about New England's initial contract offer. Jones made $2.8 million in base salary and $3 million in guaranteed compensation in 2015.
I would like to return to @nerevolution but they have offered me less than 20% of what I made last year.— Jermaine Jones (@Jermainejunior) December 19, 2015
On Friday, the U.S. national team midfielder again used social media to state his case, before deleting the post within 30 minutes.
New England appears likely to move on from Jones, having signed defensive midfielder Xavier Kouassi as a designated player from FC Sion. After the Ivorian tore his ACL earlier this week, the Revs traded for Vancouver's Gershon Koffie on Thursday.