Arbitrators Margaret Brogan, Dan Brent and Matt Goldberg are expected to made a decision Thursday, a day after they heard arguments during a hearing.
Jones hit .243 with 30 doubles, 16 homers and 58 RBIs last year, when he made $455,500. He played 90 games in right field and 34 at first base.
Owners have a 4-2 lead in decisions this year. Pirates third baseman Casey McGehee is the last player scheduled for a hearing.