No, under Texas and federal laws there is no regulation prohibiting the employer from drug testing employees. As long as the employer has a clear policy
informing the employees of the testing, if the employee refuses, then the employer has a right to terminate the employee. The Supreme Court has upheld random drug testing over arguments of 4th and 5th Amendment protections. First, under the 5th Amendment, you are not giving testimony
that incriminates yourself, the gathering of evidence is not self incrimination as held by the US Supreme Court. Second, under the 4th Amendment, the courts have stated that there is no expectation to privacy in the workplace and that the employer's right to a safe work environment outweighs any privacy rights you may have.
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