Pitts signed a one-year contract with the Bills on Tuesday, Vic Carucci of The Buffalo News reports.
Pitts will not return to Sunday's game against the Jaguars after suffering a head injury.
Pitts was claimed off waivers by the Bills on Wednesday.
The Jaguars waived Pitts on Tuesday, Mike Kaye of FirstCoastNews.com reports.
Pitts signed an exclusive free agent tender with the Dolphins on Wednesday, Omar Kelley of the Florida Sun-Sentinel reports.
Pitts (back) has been a full participant at practice this week.
Pitts suffered a back injury Sunday against the 49ers and is questionable to return, Adam Beasley of the Miami Herald reports.