Webthe answer is yes, safeway does conduct drug screenings for both new hires and current employees in certain situations. However, the specifics of their policy can vary based on the position and location. Websafeway's employment policies include drug testing for employees. To address the question of whether safeway mandates drug testing for its staff, it is. Webnot during the hire on process but if toy are injured or have an accident to6 may be asked to take one. No drug tests are taken. Yes, you are tested before hiring,. Weboverall though, it’s important to note that safeway does not give random drug tests to current employees, which means that as long as you don’t invoke reasonable suspicion.