Refreshing passwords after salting

I'm looking to install and activate the Salt module on my site. The module mentions that adding the salt would automatically invalidate all existing passwords and that they would need to be recovered and reset. I understand why that would happen, since I'm altering the strings in the database.

My question is, is there a way for me to restore my users' passwords administratively post-salting, so that they don't all have to go and reset their passwords? I want to ensure maximum security for my site, but don't want to place an additional burden on my users.