Tex. Election Code § 213.058

(a) Unless a person entitled to notice under Section 213.056 makes an objection to the recount coordinator before the canvass resulting from a recount, the final canvassing authority may use results reported to the recount coordinator by telephone or telegraph under Section 213.054 as the basis for its canvass following an expedited recount if the orderly conduct of a runoff election would be disrupted by delaying the canvass until the recount supervisors' written reports are received.

(b) If an objection is made under Subsection (a), the recount coordinator shall ascertain the grounds for the objection and shall verify with the appropriate recount supervisor each result to which objection is made. If the verification changes the overall result as originally determined by the coordinator, the coordinator shall give notice of the change to the persons entitled to receive the original notice of the result and shall continue the verification process until no objection exists. The canvass may then be conducted on the basis of telephone or telegraph reports as verified.

(c) If a canvass is conducted on the basis of results reported by telephone or telegraph, on receiving a recount supervisor's written report, the recount coordinator shall compare the report with the result used in the canvass. If a discrepancy exists, the coordinator shall ascertain the correct vote count from the supervisor. The supervisor shall deliver a corrected written report to the coordinator if the original written report is incorrect.

(d) If a discrepancy that affects the outcome of the election is discovered in the comparison made under Subsection (c), the recount coordinator shall immediately call a meeting of the canvassing authority or notify the governor, as applicable, to conduct another canvass and shall take the necessary action for correction of the ballots for the runoff election. If discovered discrepancies do not affect the outcome, the coordinator shall correct the canvassing authority's vote tabulation to conform to the written reports.