RIGHTS AND DUTIES OF ASSIGNOR OF MEMBERSHIP INTEREST.
Tex. BUS. ORGS Code § 101.111.
in effect(a) An assignor of a membership interest in a limited liability company continues to be a member of the company and is entitled to exercise any unassigned rights or powers of a member of the company until the assignee becomes a member of the company.
(b) An assignor of a membership interest in a limited liability company is not released from the assignor's liability to the company, regardless of whether the assignee of the membership interest becomes a member of the company.