If they are making MinL salary and they have options left, odds are they will be claimed, since they can be assigned to the the MinL by the team that claims them.
If they don't have options, anyone claiming them will have to assign them to their ML team. So there's much less chance they'll be claimed.
If they are AAAA talent, it's not worth worrying about. You'll have chances to claim similar players or pick them up as FAs at the start of the season.