NASHVILLE, Tenn.—Left-hander Sean Burnett and the Los Angeles Angels have agreed to a two-year contract, a deal pending a physical.

Burnett, who turned 30 in September, was 1-2 with a 2.38 ERA in 70 games this year for the Washington Nationals.

He joins a bullpen that already has added Ryan Madson as a setup man for closer Ernesto Frieri.