Hey there, Dave.
If the drive can physically fit in the slot, I don't see a reason for this not to happen. If those are standard drive, both should be with the same form factor (2.5" standard laptop drives), but you should check if their height is the same (9.5mm standard height), so that you're sure that the Toshiba laptop does not use drives with 7mm height, because a 9.5mm drive probably won't fit in the drive bay.
Hope that helps.
Boogieman_WD