Osuna will pitch his second game of a rehabilitation assignment on Thursday.
He will be placed on the disabled list and designated for rehabilitation assignment.
Strickland stayed because he was waiting to start a rehabilitation assignment.
If this rehabilitation assignment is not the last one, Reyes could arrive too late to make a difference.
The two are in Huntsville on 20-day rehabilitation assignments, both recovering from injuries to their left hands.
After that, a decision will be made on whether to activate Kelly or send him to a rehabilitation assignment.
Strawberry might start jogging this week and is at least two weeks away from starting a rehabilitation assignment.
Piazza said the final test before a rehabilitation assignment would be to simulate game conditions.
In a rehabilitation assignment, he threw four times in Florida and appeared on his way to recovery.
Reed doesn't think a rehabilitation assignment - or, perhaps more likely, a visit to the bullpen - will be necessary.