Usually, the LLC members want to control the identity of the inheriting member without adversely impacting the LLC. Of course, the members can always make an agreement to make a will pursuant to Florida Statute section 732.701 (2001). It seems easier, however, to name the inheriting member in the LLC operating agreement. But, in doing so, be cautious.
For instance, if the language of your operating agreement conflicts with the language of the Will or Revocable Living Trust, Florida statutory law is silent as to the ramifications. Which one overrides? To avoid this conflict, it is imperative that the provisions align. Keep in mind, you are combining two areas—contract law and the laws governing Wills/Trusts/Intestacy (having no Will or Trust). Taking extra time to ensure the lack of conflicts is time worth spent.