Jones, who is 0-for-10 with six strikeouts in the WBC, was scratched from Sunday's game against the Netherlands after he aggravated the injury. He planned to return to Braves camp in Kissimmee for treatment.
"It's something that's really bugging me and progressively getting worse," Jones said. "So it's important to get it taken care of."
With prompt treatment, Jones said, he likes his chances to be ready for opening day.
"I hope so, as long as we take care of it now and we don't come back too soon and have it just linger," he said.
Jones left last Sunday's game against Venezuela after five innings because of the injury. He missed a game Wednesday and went 0-for-3 Saturday in an 11-1, seven-inning loss to Puerto Rico that left the Americans one defeat from elimination.
Derek Jeter moved into the lineup to replace Jones as the designated hitter Sunday. According to WBC rules, Jones can't be replaced on Team USA's roster during this round because he played against Puerto Rico. If the U.S. advances to the semifinals, it could add a substitute to the roster.
"Knowing that I'm not going to be able to be a part of that is disappointing," Jones said. "But I've got to look at the bigger picture."
Jones is the second U.S. starter in two days to pull out of the WBC. Red Sox second baseman Dustin Pedroia was sidelined Saturday by an abdominal strain.