Texas Code of Criminal Procedure - CRIM P Art. 15.16. How warrant is executed

(a) The officer or person executing a warrant of arrest shall without unnecessary delay take the person or have him taken before the magistrate who issued the warrant or before the magistrate named in the warrant, if the magistrate is in the same county where the person is arrested. If the issuing or named magistrate is in another county, the person arrested shall without unnecessary delay be taken before some magistrate in the county in which he was arrested.

(b) Notwithstanding Subsection (a), to provide more expeditiously to the person arrested the warnings described by Article 15.17, the officer or person executing the arrest warrant may as permitted by that article take the person arrested before a magistrate in a county other than the county of arrest.