Answer by Randy Carey: It would have to be a sole member LLC.
Answer by John Burnett: The IRS permits a sole member LLC to elect to be disregarded as an entity and use its member's SSN for most purposes. But if the LLC has employees, it will be required to obtain its own TIN (an Employer Identification Number or EIN). If the single-member LLC has an EIN, you can use either the member's SSN or the LLC's EIN.
When the LLC has an EIN, your use of the EIN for the LLC's accounts will make it easier to style those accounts (in the name of the LLC, rather than using the member's name) and to distinguish the LLC's accounts from those of its member(s) when dealing with levies, garnishments, etc.