Parker is considered "week-to-week" on Tuesday by coach Adam Gase, who said he wouldn't speculate if the wideout would be ready for the team's season opener.
The injury occurred when Parker had his right hand caught in Xavien Howard's shoulder pads as the cornerback broke up a pass intended for him.
Parker, who was the 14th overall pick of the 2015 NFL Draft, has been looked upon to pick up the slack after the Dolphins traded three-time Pro Bowler Jarvis Landry to the Cleveland Browns in the offseason for a fourth-round selection in 2018 and a seventh-round pick in 2019. The 25-year-old Landry recorded a career-best 112 catches for 987 yards and nine touchdowns.
Parker was held without a catch in 10 snaps during Miami's preseason opener against the Tampa Bay Buccaneers.
The 25-year-old Parker had a career-best 57 receptions last season after hauling in 56 catches in 2016. Parker's yards per catch (11.8) went down and he found the end zone only once after scoring four times in 2016.
Parker had a pair of 100-yard games in his sophomore season but failed to reach 90 yards in a game in 2017 -- the crucial third year when receivers are expected to take a dramatic jump.
Miami addressed its wide receiving corps by adding Danny Amendola and Albert Wilson this offseason to go along with Parker and Kenny Stills.