Dolphins coach Adam Gase said Parker is "week to week" with a hand injury and noted that he couldn't catch a ball right now. He won't play in the Dolphins' preseason game against the Carolina Panthers on Friday.
When asked if he would be ready for Week 1, Gase said: "I'm not going that far ahead right now."
Parker, the Dolphins 2015 first-round pick, got his right hand caught in Xavien Howard's shoulder pads as the third-year cornerback broke up a pass intended for him. Gase called it a "very odd looking play."
Parker did not practice Monday or Tuesday.
The Dolphins were hoping for a big things from Parker after his inconsistent first three seasons as a pro. He has struggled at times during this training camp as well, particularly against Howard. This injury is the latest setback.
Parker had 57 catches for 670 yards and 1 touchdown last season.