Rather than having a separate signed agreement, have you though about putting it in your employee handbook? A signed agreement is better, however, you will need to talk to your attorneys to find out if "continued employment" is adequate "consideration" in order for the agreement to be valid in your state. If not, you may have to provide the employee with some nominal monetary stipend. By going the employee handbook route, you MAY be able to bypass this.
Please make sure to check with your attorney on this prior to implementing.
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Please make sure to check with your attorney on this prior to implementing.