Patients with acute respiratory distress syndrome due to infection with the novel coronavirus SARS-COV2 are currently considered at high risk of developing thromboembolic complications in both venous and arterial vessels. The use of anticoagulants for preventive or curative purposes should be considered to reduce the risk of thromboembolic events. We report a case of a patient with severe COVID-19 acute respiratory distress syndrome who consecutively developed a right femoral deep vein thrombosis related to the femoral central line and acute ischemia of the left upper limb related to a radial arterial line. He was under a therapeutic dose of low molecular weight heparin twice a day three days before. The femoral vein was free of thrombosis while the central line was placed under a duplex ultrasound. Thromboembolic events can occur in patients with severe COVID-19 despite therapeutic anticoagulants. Close monitoring of vascular access with duplex ultrasound may be required.