Barry Jackson of the Miami Herald previously reported that the sides would meet on Tuesday.
The Jags selected Branch in the second round of the 2012 draft. He made a sporadic impact across four seasons, racking up 91 combined tackles, 14 sacks and five forced fumbles in 51 games, before hitting the open market.
In December, he told Vito Stellino of the Florida Times-Union that he thought he had a "solid" 2015 campaign despite often "frustrating" results for the team.
"I did what I was supposed to do," Branch said. "The main thing is to go out there and work and keep getting better each and every day."
Grant Paulsen of FOX 5 DC noted several factors that could have played a role in the edge-rusher's average numbers:
Branch had 10.5 sacks during his final season at Clemson, but he hasn't shown that kind of consistent impact off the edge in the NFL.
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The Dolphins play the right style defense, but they already have Cameron Wake and Mario Williams on the roster at the end spots. That means Branch will likely have to accept a rotational role, unless Miami has more moves on the horizon.