The Braves were one of five clubs that spoke one-on-one with Tebow after his Los Angeles workout Tuesday, the source said.
The former NFL quarterback announced last month that he is interested in returning to baseball, a sport he hasn't played since he was a high school junior in 2005.
He generated mixed reviews during his session that lasted more than two hours, showing off a powerful bat and a few areas of needed improvement.
Tebow, 29, has been working out since late May with former big league catcher Chad Moeller, who runs a baseball school in Scottsdale, Arizona.
Information from ESPN senior writer Jerry Crasnick and The Associated Press contributed to this report.