Weather and climate-related human mobility (climate mobilities) including displacement are often viewed as security concerns. The recent coronavirus (COVID-19) pandemic adds yet another layer of complexity which calls for unpacking these connections. This paper explores how existing patterns of migration and displacement that are driven by climate change impacts compound with the ongoing COVID-19 pandemic. First, the paper outlines the links between extreme weather events and human mobility to then explore how the impacts from COVID-19 interact, cascade and compound pre-existing vulnerabilities of people on the move. Examining the ways in which climate change is potentially driving or shifting patterns of climate mobility allows to gain a shared understanding of this complex issue. This paper contextualises the compounding impacts with a geographical focus on Bangladesh, a well-known climate hotspot. The paper contributes to the debates on impacts and human responses to climate change and concludes with a set of policy recommendations.