In 1990, Asemota moved to Jamaica to take up a position as Associate Honorary Lecturer at the University of the West Indies. She was appointed Lecturer in 1996, and promoted to Senior Lecturer in Biochemistry and Biotechnology in 1998. In 2003, Asemota was promoted to Professor of Biochemistry and Molecular Biology.  She was Full Professor at the Shaw University, North Carolina from 2005 to 2012. During this time she was Head of the Nanobiology Division of the Shaw Nanotechnology Initiative at the Nanoscience and Nanotechnology Research Centre (NNRC) from 2005 to 2009, Nature Sciences Biological Sciences' Program Coordinator from 2009 to 2010, and Chairman for the Shaw University Institutional Review Board (IRB) from 2006 to 2009, Senator for the Shaw Faculty Senate between 2007 and 2012, Core Director of the Faculty Research Development at the NIH- Research Infrastructure for Minority Institutions and as IRB Administrator between 2010 and 2012.
In 2013, Asemota was appointed Director of the Biotechnology Centre, a research unit at the University of the West Indies with a focus on biotechnology-based enterprises.
At the time of her promotion to Professor in 2003, Asemota was a member of the Caribbean Biotechnology Network, the Biochemical Society of Nigeria, the Third World Organisation for Women in Science, and the Nigerian Association of Women in Science, Technology & Mathematics. She was a Fellow of the American Biographical Institute, a member of the National Geographic Society, the Nigerian Institute of Food Science and Technology, and the New York Academy of Science.