The two players waived/injured were quarterback Mike Quinn and offensive tackle Anthony Cesario.
The Dolphins also terminated the contract of guard Jamie Nails, the former Buffalo Bills starter.
As expected, both wide receiver O.J. McDuffie and tight end Alonzo Mayes will begin the season on PUP, which makes them ineligible to return until after the sixth week of the regular season.
Of all the roster cuts, the two that looked the most difficult were those of Porter and Leverette.
Porter lost out to veteran Shawn Wooden for the final spot in the secondary. Porter was a demon on special teams throughout the preseason, and it was thought that might give him an edge over Wooden, particularly since Wooden has battled a sore hamstring for the past couple of weeks.
As for Leverette, he was competing with another young player, Adewale Ogunleye, for the final spot on the defensive line. Leverette has a prototypical body for an NFL defensive end and he does have some athletic ability, but Ogunleye was a pass-rushing presence throughout the preseason, and that ultimately made the difference.
In fact, Coach Dave Wannstedt has said he anticipates Ogunleye making an impact this season.
Leverette and Winey became the third and fourth draft picks to be released, following quarterback Josh Heupel and linebacker Rick Crowell.