Ivan Nova is scheduled to start on Tuesday, and projects to be joined in the rotation by Eovaldi, Masahiro Tanaka, Michael Pineda and CC Sabathia.
Warren is 5-5 with a 3.59 ERA in 14 starts, but has already thrown 82 2/3 innings, his most since tossing 152 2/3 innings in the Minors in 2012. Warren was effective as a reliever last season, posting a 2.97 ERA in 69 appearances.
"I'm pleased with the way I've competed and how much I've learned as a starter," Warren said last week in Houston. "I'm trying to take it one day at a time, but I'm very pleased with how far I've come since the beginning of the year."
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch, on Facebook and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.