The Red Sox selected Burgos' contract from Triple-A Worcester on Friday.
Boston burned through its bullpen in Thursday's extra-innings win over the White Sox, and Burgos is being summoned as a fresh arm. He's worked almost exclusively as a starter with Worcester but will provide long relief for the Red Sox. He's pitched to a 5.63 ERA, 1.63 WHIP and 52:26 K:BB across 64 innings at Triple-A.