Manager Bud Black said Wieland is progressing and soon may be ready to throw from the mound.
"He's feeling better," Black said. "He's going to throw on the side, but he's not ready for the mound yet. He's progressing toward the mound."
Wieland has been on the disabled list on May 10 and was 0-4 with a 4.55 ERA in five starts before suffering the injury.