Eovaldi, 29, was scheduled to meet with doctors Monday after the Red Sox placed him on the 10-day injured list retroactive to April 18.
The surgery is expected to be similar to the arthroscopic elbow procedure Eovaldi underwent in 2018 while a member of the Tampa Bay Rays, which resulted in the righty missing approximately two months.
Eovaldi owns a 6.00 ERA and 6.99 FIP over 21 innings (four starts) this year. He re-signed with Boston this winter to a four-year, $68-million deal after he was granted free agency.
Over 111 innings last season, Eovaldi authored a 3.81 ERA and 3.60 FIP between the Rays and Red Sox.