After the outbreak of the Covid-19 pandemic, most states enacted new measures to constrain international mobility. By May 8th, 2020, more than 93% of the world’s population lived in states with special entry bans and more than three billion lived in countries whose borders were almost completely closed to non-citizens. Can such measures be justified? If so, would this undermine the open borders view? This paper examines these questions. It argues, first, that, although short-term entry bans and other similar measures designed to protect public health can be justified, these bans need to be designed with a number of exemptions, in particular, for asylum seekers and refugees. Even in times of pandemic, completely closed borders are indefensible. It argues, second, that although extreme versions of the open borders position may have difficulty accepting this conclusion, other versions of the position can consistently justify special entry restrictions.