Network traffic balancing is one of the major factors of building scalable and robust service oriented communication networks. A plethora of algorithms for traffic balancing exists for classical network architecture and for software-defined networks. Having spotted certain deficiencies of existing methods, we are presently developing a stateless transport protocol, one of key features of which is the possibility to use anycast for concurrent connection with several servers. In this article, we consider various methods of a stateless protocol application for enhancing traffic balancing in software-defined networks.