Skoog competed for Sweden, along with her fellow countrywoman Erika Kinsey, in the women's high jump at the 2016 Summer Olympics in Rio de Janeiro. Six months before her maiden Games, she jumped a height of 1.94 m to attain the IAAF Olympic entry standard by just a single centimetre at the Nordic Championships in Växjö. Having entered the final round with a personal best of 1.94 m set at the qualifying phase, Skoog managed to jump easily into the competition at 1.88, and then spent two attempts to get over 1.93 m. Unable to trump the 1.97-metre mark after three attempts, Skoog ended her Olympic campaign in a two-way tie with Germany's Marie-Laurence Jungfleisch for seventh place.