DALLAS - Southwest Airlines Co. (NYSE: LUV) announced a tentative agreement (TA) with Transport Workers Union Local 557, the union representing the Company’s Flight Instructors. The agreement comes just four weeks after the group’s current contract became amendable.   “I thank and congratulate the representatives of TWU who worked collaboratively with the Company to reach an agreement to reward our professional and hardworking Flight Instructors,” said Southwest’s Senior Director of Labor Relations Russell McCrady. “We are pleased we could reach an agreement quickly on a contract that recognizes the contributions of our Instructors and supports our low-fare brand.”   During the next few weeks, the Union will share terms of the agreement with its members who will then conduct a ratification vote. If approved, the new contract would be amendable at the end of 2019.