The Cavs and James Jones reached an agreement on a one-year contract for the veteran's minimum on Thursday.
James Jones said that he will re-sign with the Cavs for the 2015-16 season.
James Jones and Mike Miller combined to play 32 minutes in Sunday's Game 5 loss to the Warriors.
James Jones dislocated his right index finger during the first quarter of Tuesday's game, but he said afterward that he's "fine."
James Jones played 22 minutes off the bench against the Bulls on Wednesday with 17 points, two rebounds and five 3-pointers.
James Jones was productive off the Cavs' bench during Sunday's blowout loss to the Celtics, putting up 14 points on 4-of-7 shooting (5-of-5 from the stripe), one 3-pointer, four rebounds and a block through 26 minutes of action.
James Jones went from the Cavs' starting lineup to a DNP-CD on Sunday.
James Jones played 23 minutes in the starting lineup against the Heat on Thursday with six points and one 3-pointer.
James Jones will start in place of Kevin Love on Thursday.
James Jones has emerged as a role player in Cleveland's rotation, and over the past four games he has put in averages 9.8 points and 2.8 three-pointers through 22 minutes of action.
James Jones scored double-digit points for the third time this season on Tuesday, making 3-of-6 shots with a pair of 3-pointers to finish with 10 points.
James Jones will start against the Pacers on Friday.
James Jones logged a season-high 30 minutes on Thursday, finishing the Cavs' road loss with nine points, three rebounds, one assist and one steal.
James Jones stepped up for the short-handed Cavs on Tuesday, coming off the bench for nine points on 3-of-10 shooting, three 3-pointers, three rebounds, two assists, three steals and two blocks.