Carter, who will turn 29 on Sept. 12, backed up Stephen Davis last season in Washington and was out of football in 2000. He has been hampered by injuries since he began his pro career with the Cincinnati Bengals.
The Green Bay Press-Gazette reported in today's editions that Carter will receive the veteran's minimum of $650,000 if he makes the 53-man roster.
Just two days after the June minicamp concluded, the Packers released Jones and Heupel. Jones, signed in late May, became expendable after the Packers signed middle linebacker Hardy Nickerson on June 12.
Jones had started 128 of a possible 150 games during his career, which has included four seasons with Dallas, two with the St. Louis Rams, three with the Miami Dolphins and the 2001 campaign with the Washington Redskins.
Heupel, signed in early February, did not show very good arm strength during the two minicamps that he participated in with the Packers this off-season. He suffered a wrist injury last year in training camp when he was with the Miami Dolphins and has not yet fully recovered.