Mandatory Direct Deposit of Wages

[FstRydr]

My employer is instituting a new condition of employment. They are requiring that we sign up for direct deposit of wages to our bank accounts (which is acceptable to us). They are also requiring that we agree to allow them (the employer) to access and deduct monies from our bank accounts in case they make a mistake and deposit the wrong amount into our accounts (NOT ACCEPTABLE TO US).
It seems to us that this practice would be tantamount to giving them our ATM cards and PIN numbers, not to mention the fact that they obviously don't trust us to repay them if an over payment is made.

My question: Is it legal in the state of Florida for an employer to require access to an employee's bank account as a condition of employment?

I am a retail store manager, and my staff has indicated to me that they will quit working for me rather than give access to their bank accounts. I don't blame them, nor will I agree to such a practice.

I will appreciate comments and suggestions. Please, time is of the essence, since our employer wants to start this program immediately.

Thanks
FstRydr