The clubs are confirmed to be swapping picks. The Dolphins basically bought a fifth-rounder to pay the balance of Talib's $4.2 million contract this season.
"Everything we do, we do in the best interest of the team, long term and short term", Rams coach Sean McVay said Tuesday.
Most signs entering the 2019 season made it seem like Los Angeles would be willing to move on from Talib once the 2020 offseason got underway since his age, and asking price would seem like too much to keep him around.
Talib's current contract ends this year and he will be a free agent.
As far as why the Dolphins are agreeing to this trade - this is a team that has rid itself of all of their star players in a clear tank rebuild - it's because the Rams are giving them a draft pick as incentive take Talib's salary off of their hands.
Talib is the second starting cornerback the Rams have traded in the past two weeks.
Talib, 33, is a five-time Pro Bowl selection with 35 interceptions (returning 10 for touchdowns) since being selected in the first round of the 2008 draft by the Tampa Bay Buccaneers.
But the main priority here for Miami is the draft pick.
Flores has familiarity with Talib from when both were with the Patriots. He left New England following the 2014 season and played four years in Denver before playing the last two for the Rams.