Cespedes (hamstring) took 40 pitches of live batting practice Tuesday, Marc Carig of Newsday reports.
This was the earlier point at which the Mets thought Cespedes could hit again following his weekend setback, so it appears he could be on track to return from the DL over the team's next road trip. The timetable is still very tentative, but if Cespedes can keep progressing along without any setbacks, he'd likely return to the lineup as the DH when the Mets visit Texas on June 6.