Suarez (elbow) hasn't been cleared to resume throwing and won't be ready to rejoin the Atlanta bullpen immediately after the All-Star break, Mark Bowman of MLB.com reports.
The veteran setup man last pitched June 19 before being shut down due to inflammation in his right elbow. Suarez still has a chance to come off the IL before the end of July, but his recovery timeline will remain fuzzy until he's able to begin throwing again.