Ortiz (1-1) allowed three earned runs on two hits and a walk while striking out none across 1.2 innings to take the loss Tuesday against the Mets.
Ortiz will begin the season as a long reliever in the bullpen, Alex Stumpf of MLB.com reports.
The Pirates optioned Ortiz to Triple-A Indianapolis on Friday, Justice delos Santos of MLB.com reports.
Oritz allowed three earned runs on four hits and two walks while striking out five across 3.2 innings Friday against the Reds. He didn't factor into the decision in the Pirates' 7-5 win.
Ortiz allowed one earned run on three hits and two walks while striking out none across 5.1 innings Sunday against Atlanta. He did not factor into the decision.
Ortiz (4-4) earned the win over Milwaukee on Monday, allowing two runs on five hits and three walks while striking out four batters over six innings.
Ortiz will start for the Pirates on Monday versus the Brewers, Kevin Gorman of TribLive.com reports.
Ortiz (3-4) earned the win Tuesday against Kansas City. He allowed one run on three hits and two walks while striking out five over five innings.
General manager Ben Cherington confirmed that Ortiz will receive another start with the Pirates either Tuesday or Wednesday in Kansas City, Jason Mackey of the Pittsburgh Post-Gazette reports.
The Pirates recalled Ortiz from Triple-A Indianapolis ahead of his scheduled start Wednesday against the Cardinals at PNC Park.