Jones has missed the last three games due to a high left ankle sprain. He sprinted and cut during a workout Monday and could possibly return to practice Wednesday, when the Cowboys begin preparing for Sunday's game against the Buffalo Bills.
"We're certainly hopeful," Garrett said. "He had a good workout today. He's going to have another workout tomorrow and we'll see how he feels on Wednesday."
Rookie DeMarco Murray has rushed for 466 yards while Jones was inactive, setting a franchise record for the most yards in a three-game span. Garrett has been noncommittal about the running backs' roles once Jones gets healthy other than saying he intends to use both Murray and Jones.
"Felix has been a very good player for us, a dynamic player, made a lot of big plays both in the running game and in the passing game since he's been here," Garrett said. "So there's going to be a role for Felix Jones coming back. We like to get him the football as well."
In other injury news, Garrett said the Cowboys would monitor punter Mat McBriar during the week before determining whether to continue carrying two punters on the roster. McBriar did not play in Sunday's win over the Seahawks due to a nerve condition called "drop foot." Chris Jones, who was signed from the practice squad last week, averaged 43.0 yards on four punts.
Tim MacMahon covers the Cowboys for ESPNDallas.com.