The Bobcats were also one of several teams pursuing forward Antonio McDyess as the Bobcats look for ways to boost a thin front line.
General manager Rod Higgins said the 6-foot-11 Jones would likely sign on Thursday. The former Saint Joseph's big man has played 74 games for Cleveland and Boston, and had been playing overseas.
Higgins said he has been in contact with McDyess' agent, but that nothing is imminent with the free agent, who was waived by Denver last week.
Coach Larry Brown has continually lamented his frontcourt depth, and the Bobcats have been consistently out-rebounded in their 3-7 start.
Andre Brown was signed before training camp and played in four games, scoring four points and grabbing 12 rebounds. Johnson was signed just before the start of the regular season. He appeared in two games and did not score or get a rebound.
Signing Jones would leave the Bobcats with 14 players, one shy of the league limit.
That would leave room for McDyess, if he decides he wants to be reunited with Brown, his former coach in Detroit.
The veteran was sent from the Pistons to Denver earlier this month in the Allen Iverson-Chauncey Billups trade, then was waived by the Nuggets.
Several teams have contacted McDyess, who also could end up returning to the Pistons.
"In Detroit they used to call him my second son," Brown said. "The last thing I want to do is pressure him. ... But he would be perfect for this team."