Eovaldi was placed on the 15-day injured list on Friday with a strained right groin.
Eovaldi (groin) will undergo an MRI on Friday, Evan Grant of the Dallas Morning News reports.
Eovaldi was removed from his start Thursday against the Nationals with an apparent injury, Mark Zuckerman of MASNSports.com reports.
Eovaldi didn't factor into the decision during Friday's victory over Cincinnati, giving up one earned run on three hits and five walks while striking out eight batters across six innings.
Eovaldi (1-2) allowed three runs on five hits and six walks over 5.1 innings in a loss to Atlanta on Saturday. He struck out six.
Eovaldi did not factor into the decision Tuesday, allowing one run on three hits and two walks in 5.2 innings versus the Athletics. He struck out eight.
Eovaldi (1-0) earned the win Wednesday, allowing four hits and one walk over seven scoreless innings against Tampa Bay. He struck out eight.
Eovaldi allowed two hits and one walk while striking out three over four scoreless innings in Saturday's spring start against Kansas City.
Manager Bruce Bochy announced Tuesday that Eovaldi will start the Rangers' March 28 season opener versus the Cubs in Arlington.
Eovaldi allowed four runs (three earned) on four hits and four walks while striking out five over 4.2 innings in Monday's spring start against the Angels.