Jasim rose to prominence with a 10,000 m silver medal at the 2006 Asian Games and then won both the long-distance events at the 2007 Asian Athletics Championships. She is a two-time medallist at the Military World Games (5000 m) and the Pan Arab Games (half marathon). She is a three-time participant at the IAAF World Cross Country Championships and was runner-up at the Asian Cross Country Championships in 2007.