Gil (4-1) allowed three hits and two walks over six shutout innings Sunday, striking out three and earning a win over the Rays.
Gil (3-1) picked up the win in Tuesday's 10-3 rout of the Astros, allowing one run on one hits and four walks over six innings. He struck out five.
Gil surrendered five earned runs on six hits and two walks while striking out six batters across five innings during Friday's loss to Milwaukee. He didn't factor into the decision.
Gil will be available out of the bullpen for Saturday's doubleheader against the Guardians, Greg Joyce of the New York Post reports.
Gil (0-0) didn't factor into the decision Sunday, allowing two runs on two hits and four walks over 4.1 innings. He struck out eight.
The Yankees recalled Gil from Triple-A Scranton/Wilkes-Barre on Thursday.
Yankees manager Aaron Boone said Sunday that Gil will open the year as the team's fifth starter, Bryan Hoch of MLB.com reports.
Gil tossed four innings in a Grapefruit League game against the Mets on Friday, allowing two runs on two hits and two walks while striking out five batters.
Gil was optioned to Triple-A Scranton/Wilkes-Barre on Sunday.
Gil will be stretched out to start this spring, but the Yankees are open to the possibility of shifting him to a relief role, Andy Martino of SNY.tv reports.