Cutler has been working his way through the NFL’s concussion protocol, which means David Fales will be the team’s backup quarterback behind Moore.
Moore, 33, originally signed on with the Panthers as an undrafted free agent out of Oregon State back in 2007. He spent three years in Carolina before signing on with the Dolphins in 2011.
Moore is currently in the second year of his two-year, $3.5 million contract that includes $2.25 million guaranteed.
In 2017, Moore has appeared in three games for the Dolphins and completed 59.1 percent of his passes for 646 yards, three touchdowns and three interceptions.
Cutler, 33, is a former first-round pick of the Broncos back in 2006. He spent three years in Denver before he was traded to the Bears in 2009. He was in the fourth year of his seven-year, $126.7 million contract that included $54 million guaranteed when the Bears cut him loose at the start of the 2017 league year.
After finding little interest as a free agent, Cutler decided to retire and accepted a job with FOX Sports as a broadcaster. However, the Dolphins convinced him to come out of retirement after Ryan Tannehill went down with a knee injury during training camp.
In 2017, Cutler has appeared in nine games and completed 1,602 yards while completing 64.6 percent of his passes to go along with 13 touchdowns and nine interceptions. Pro Football Focus has him rated as the No. 34 quarterback out of 38 qualifying players.