Rush, 29, is a career 40.9 percent three-point shooter and averaged 2.1 points and 0.6 assists for the Utah Jazz in 2013-14, the final season of a two-year, $8 million deal with Golden State. The 6-foot-6 guard was limited to only 38 games after suffering a torn ACL in November 2012.
Last July, Rush was traded to the Jazz, along with center Andris Biedrins and forward Richard Jefferson.
The Heat have agreed to re-sign big men Chris Bosh, Chris Andersen and point guard Mario Chalmers (and are reportedly close to coming to terms with guard Dwyane Wade) and have reached agreements with free agent forwards Luol Deng, Danny Granger and Josh McRoberts.
Miami won 54 games and earned the No. 2 seed in the Eastern Conference last season before losing to the Spurs in the Finals.
One name the Heat have explored as a shooting option: Mario Chalmers' former Kansas teammate Brandon Rush— Ethan J. Skolnick (@EthanJSkolnick) July 14, 2014
-- Chris Johnson