How many hours can a salaried employee work in Texas? ↓. A salaried employee in Texas can work up to 40 hours in a standard work week.Just because you are paid a salary does not mean that you are not entitled to overtime pay. Find information about laws that protect workers. Learn how to claim unpaid wages or file a complaint for employment or housing discrimination. The salaried employee must receive a predetermined and fixed salary that is not subject to reduction based on the quality or quantity of work performed. The FLSA establishes the federal minimum wage, overtime regulations, child labor regulations and related record-keeping requirements for employers. Under the general common law, an employer must pay an employee according to the wage agreement that was in effect when the work was performed. These laws cover an array of issues including, but not limited to, minimum wage standards, overtime regulations, and workplace safety rules.