Eovaldi is 14-3 with a 4.20 earned-run average. Manager Joe Girardi said Adam Warren and Bryan Mitchell are candidates to start down the stretch in place of Eovaldi.
Girardi also said that first baseman
Teixeira, who has a team-leading 31 home runs, has been on the disabled list since Aug. 27.
Right-hander Marcus Stroman will make his first start this season when the Toronto Blue Jays face the Yankees on Saturday in New York.
Stroman, 24, had surgery in March for a torn knee ligament. He had been expected to sit out the season.