I received the following email from SBTS's office of communications, and am posting it with their permission:
Dear Friends of Southern Seminary,
I write to thank you for your prayers for Dr. Mohler in recent days and to update you on his health. The corneal surgery Dr. Mohler underwent on Sunday, June 11th, appears to have been a success. While Dr. Mohler is experiencing varying degrees of pain in the cornea and that eye's vision will remain very limited, daily the cornea is recovering from the surgery. For this progress we are grateful to God.
The surgery, though effective, was not a long-term solution to Dr. Mohler's corneal problems. Rather, the surgery provided short-term help and it served to prepare the eye for future treatment.
Again, thank you so much for your prayers and your many expressions of concern for Dr. Mohler in recent days.