Dwyer previously had been ruled out of the remainder of the MLS is Back Tournament with the injury. He is expected to be sidelined for four-to-six months.
"Unfortunately injuries are a part of the game & something I've been battling for awhile," Dwyer wrote Friday on Twitter. "To my teammates & to the fans, I'm sorry. My desire remains the same to help bring success to this club. I'll be working to come back stronger & better."
Dwyer last participated in Orlando City's 3-1 win over New York City FC on July 14.
The 30-year-old has notched an assist in two matches this season for Orlando City (2-1-2, 8 points), who defeated LAFC 5-4 on penalty kicks after a 1-1 tie in a quarterfinal match of the MLS is Back Tournament near Orlando on Friday.
Dwyer has recorded 81 goals and 18 assists in 195 career matches with Sporting Kansas City and Orlando City.