The Rays recalled Cook from Triple-A Durham on Tuesday.
Cook was called up for his MLB debut in late July and was returned to Durham after giving up three runs with a 2:2 K:BB in two relief appearances. The right-hander has made 38 appearances at Triple-A this year and has a 4.53 ERA, 1.16 WHIP and 47:16 K:BB across 43.2 innings.