Suarez (elbow) will throw a live batting practice session next week, Mark Bowman of MLB.com reports.
If Suarez's live BP goes well, he'll then be cleared to begin a rehab assignment. The veteran reliever has not pitched in a game since late June, but with time running short on the regular season, Suarez might not be afforded too many rehab outings before being activated. He's working his way back from right elbow inflammation.