The new law provides an immunity clause, but you should consult your lawyer. From the new section:
2923.126(2)(a)
A private employer shall be immune from liability in a civil action for any injury, death, or loss to person or property that allegedly was caused by or related to a licensee bringing a handgun onto the premises or property of the private employer, including motor vehicles owned by the private employer, unless the private employer acted with malicious purpose. A private employer is immune from liability in a civil action for any injury, death, or loss to person or property that allegedly was caused by or related to the private employer's decision to permit a licensee to bring, or prohibit a licensee from bringing, a handgun onto the premises or property of the private employer. As used in this division, "private employer" includes a private college, university, or other institution of higher education.