Manager Terry Francona told the pitchers on Sunday before House started an exhibition against the Chicago White Sox. The left-handed House and McAllister will follow Cy Young Award winner Corey Kluber, Carlos Carrasco and Trevor Bauer in a rotation the Indians hope can keep them in contention this season.
Kluber will start the opener in Houston on April 6, followed by Carrasco and then Bauer. McAllister is to make his 2015 debut in the home opener against Detroit on April 10.
House went 5-3 with a 3.35 ERA in 18 starts for the Indians last year. McAllister, who made 15 starts, went 4-7 and also pitched in relief. The Indians considered using him out of the bullpen again, but the right-hander earned the starting job with a strong spring.
McAllister had a 3.32 ERA, struck out 24 in 19 innings and had just four walks.
The Indians opened training camp with just one starting job available. Gavin Floyd, signed during the offseason, re-injured his elbow, had surgery and is likely to miss the entire season.