Dawit made her first impact at national level in 2013, winning the 1500 m national junior title. Her debut on the IAAF Diamond League circuit followed shortly after, and she set a personal best of 4:14.95 minutes at the Doha Diamond League meet. She was selected for her international debut at the 2013 World Youth Championships in Athletics and was runner-up to Tigist Gashaw – the first time Ethiopia took the top two spots in that event. She reversed this placing at the 2013 African Junior Athletics Championships, taking the title with a best of 4:09.00 minutes several seconds ahead of Tigist.