During the COVID-19 pandemic, there were unprecedented shortfalls in immigration. Concurrently, as the economy recovered, the labor market was tight, with the number of vacancies per unemployed worker reaching two, more than twice its pre-pandemic average. In this article, we investigate whether these two trends are connected. We find no evidence to support the hypothesis that the immigration shortfalls caused the tight labor market, for two main reasons. First, while the immigration deficit peaked at about two million workers, this number had largely recovered by February 2022, just as the labor market was becoming tight. Second, states, cities, and industries most impacted by the immigration restrictions did not have larger increases in labor market tightness. We construct a shift-share instrument to examine the causal impact of the immigration restrictions and still find no evidence supporting the hypothesis that immigration shortfalls were the underlying cause of increased labor market tightness.