Tex. Elec. Code § 18.006
The registrar shall deliver the lists furnished under this subchapter, including the lists furnished under Section 18.007, to the appropriate authority as soon as practicable after the request but in every case in time for receipt before the beginning of early voting by mail for the election in which the lists are to be used. If those lists do not contain the names of all voters who will be eligible to vote as of the beginning of early voting by personal appearance, another set of the appropriate lists shall be delivered before the beginning of early voting by personal appearance. If those lists do not contain the names of all voters whose registrations will be effective on election day, another set of the appropriate lists shall be delivered as soon as practicable after the registrar has processed the remaining applications.
Tex. Elec. Code § 18.006