The move comes one week after the veteran point guard started working out with the Austin Spurs as part of his rehab program. Parker is working his way back from a ruptured left quadriceps tendon that he suffered during last spring's Western Conference semifinals.
Parker has been ruled out for Thursday night when defending champion Golden State visits San Antonio for one of this season's biggest games. Coach Gregg Popovich said last weekend Parker would not rejoin the team until he was 100 percent.
Parker has averaged 16.2 points and 5.8 assists in 1,143 career games and has won four NBA titles.
"We don't have Tony out there. We don't have Kawhi [Leonard] out there. So it's on me and LA (LaMarcus Aldridge), and that first group, Manu [Ginobili], Patty [Mills] and Rudy [Gay], our vets, to try to help those younger guys kind of understand and get in places and be poised and keep our composure."
Leonard has been out since training camp with a right thigh injury, and he'll be sorely missed against the Warriors.
"Especially against them, we need Kawhi for sure," Ginobili said. "But we don't have him. We're [not] going to be crying about it. We're going to try to play our best game, and get the win anyway."
The Spurs have lost three straight after starting 4-0.
Information from ESPN's Michael C. Wright and The Associated Press was used in this report.