The article points out the possibility of solving the problem of staffing construction production within the framework of an engineering management scheme through a type of outsourcing - outstaffing, i.e. use of freelance workers. In this regard, the article provides a schematic diagram of the implementation of outstaffing in construction. The organizational and economic mechanism of the process of interaction between a construction company and an outstaffing company assumes that the latter becomes the formal employer for the employees of the construction company and assumes full legal and financial responsibility for them. An organizational scheme for staffing based on the principles of outstaffing allows companies using freelance labor and companies that own labor resources to obtain a tangible effect, and also contributes to the development of new approaches to organizing construction production management.