This paper investigates how economic downturns affect the flow of human capital to startups. Using proprietary data from AngelList Talent, we study how individuals' online job searches and applications changed during the emergence of the COVID-19 crisis. We find that job seekers shifted their searches toward larger firms and away from early-stage ventures, even within the same individual over time. Simultaneously, job seekers broadened their other search parameters, considering lower salaries and a wider variety of job types, roles, markets, and locations. Relative to larger firms, early-stage ventures experienced a decline in the number of applications per job posting, a decline driven by higher quality and more experienced job seekers. This led to a deterioration in the quality of the human capital pool available to early-stage ventures during the downturn. These declines hold within a firm as well as within a job posting over time. Our findings uncover a flight to safety channel in the labor market, which may amplify the procyclical nature of entrepreneurial activities.