Living with dementia at any time brings everyday challenges for the patient and those around him/her. The Covid-19 pandemic is making daily life harder. We aim to describe the problems of people with dementia during the time of such a pandemic and address the issue of their access to intensive care units. A systematic literature search (Cochrane Library (advanced search), and PubMed) was performed (for items up to 19 August 2020) using the following terms: ‘COVID-19’, ‘dementia’, and ‘intensive care unit’. Studies were independently evaluated and selected for potential analysis. Five of 35 articles initially selected met the inclusion criteria. An additional Google Scholar search identified some striking statements from relevant authorities or scientists about the difficulty of living with dementia in the era of COVID-19, and were also reported. To summarize, dementia-related behaviours, increased age, and comorbid health conditions may increase the risk of contracting the virus. People with dementia in their own homes may already feel isolated, and additional rules for self-isolation may make this worse. As COVID-19 is spreading worldwide, governments and health authorities should devise better criteria for accessing intensive care units and allocating ventilators. If someone is given preference for medical care, it should be because that person has a better short-term prognosis, not simply because that person is younger than someone else.