Graterol, who will undergo an MRI on Friday, said he felt pressure in his throwing shoulder while throwing before Wednesday's game at the St. Louis Cardinals.
Graterol last pitched on Sunday against the Chicago Cubs, getting the save in the 11-9 win after allowing no hits over two innings and striking out one batter.
In 37 appearances this year, the hard-throwing right-hander is 2-3 with a 3.35 ERA and 35 strikeouts in 40⅓ innings.
The Dodgers recalled right-hander Reyes Moronta to replace Graterol on the roster. It's Moronta's fourth stint with the Dodgers this season; in 13 games, he is 0-0 with a 3.68 ERA.
The Associated Press contributed to this report.