Hedevig Rasmussen (later Gjørling, later Jensen, April 21, 1902 – April 15, 1985) was a Danish freestyle swimmer who competed in the 1924 Summer Olympics. She was born in Copenhagen and died in Lundtofte, Hovedstaden. In 1924 she was a member of the Danish relay team which finished fourth in the 4×100 metre freestyle relay competition. In the 400 metre freestyle event she was eliminated in the semi-finals and in the 100 metre freestyle event she was eliminated in the first round.