Smith underwent Tommy John ligament construction surgery Friday, which included an internal brace procedure, Anthony DiComo of MLB.com reports.
The Mets transferred Smith (elbow) to the 60-day injured list Sunday.
Smith has been diagnosed with a significant UCL tear in his right elbow and is likely to undergo Tommy John surgery, Anthony DiComo of MLB.com reports.
The Mets placed Smith on the 15-day injured list Wednesday with a right elbow sprain, retroactive to Monday.
Smith will undergo an MRI after feeling tightness in his right forearm while playing catch Wednesday, Abbey Mastracco of the New York Daily News reports.
Smith earned his second save Sunday, allowing one hit and one walk over 0.2 scoreless innings against the Phillies.
The Mets reinstated Smith (shoulder) from the 15-day injured list Sunday.
Smith (shoulder) resumed a rehab assignment with Single-A Brooklyn on Sunday, tossing a scoreless inning, Tim Healey of Newsday reports.
Smith (shoulder) will not be activated from the injured list Wednesday, Mike Puma of the New York Post reports.
Smith (shoulder) is slated to be activated from the 15-day injured list Wednesday, Anthony DiComo of MLB.com reports.