Goodwin began experiencing "discomfort in his legs and slight shortness of breath" during OTAs in the spring. Follow-up tests showed blood clots in his legs and lungs.
It is unclear when Goodwin will rejoin the Browns on the practice field. Cleveland signed the 32-year-old veteran in the offseason.
Goodwin has 187 career receptions and was brought in to play a key role in Cleveland's receiver rotation.
The Browns' first training camp practice is Saturday at the Greenbrier in White Sulphur Springs, West Virginia.