Harvey signed a one-year, $11 million deal with the Angels in December, looking to bounce back after last season. He went 7-9 with a 4.94 ERA in 32 games (28 starts) with the Mets and Reds last year.
Angels manager Brad Ausmus said Thursday that Harvey would miss a minimum of a week and a half.
"You can recover from a week and a half," Ausmus said. "It depends on how he feels when we re-evaluate him and how he feels and how quickly he can get back on the mound and what he's done in the interim. He can recover from that."