Jones was scheduled to take live batting practice back at the Pirates' Spring Training complex on Thursday.
"Jones had a good day today," Hurdle said.
The first baseman went 3-for-14 in six Grapefruit League games before the injury. He posted a .274/.317/.516 batting line with 27 homers and 86 RBIs in 145 games last season.
Adam Berry is a reporter for MLB.com. Follow him on Twitter at @adamdberry. This story was not subject to the approval of Major League Baseball or its clubs.