We use survey data for 4336 scientific teams, located in 16 countries, where all members were working within a single lab, to test three context factors that potentially affect the capability of internationally mobile individuals to enhance the innovation performance of their research units. We formulate hypotheses on context factors rooted in the knowledge recombination and learning‐by hiring theories. The results show that three context factors are positively associated with international mobility and the performance of the research units: the degree to which knowledge in the relevant subfield of science is geographically concentrated, the creative intent of the activities performed and the decision power of the mobile individual.