The article explores the role of state‐owned enterprises (SOEs) in the globalisation of China's infrastructure capital. Examining how accumulation strategies of Chinese SOEs are driven by a complex set of political and economic, state and private, interests, it foregrounds the inherently hybrid nature of China's state capitalism. We use Kenya's Standard Gauge Railway (SGR) as a case study to analyse how state infrastructure capital traverses borders, and the specific ways that contradictions of accumulation in China are relocated through the improvised hybridity of SOEs. In Kenya, China Road and Bridge Corporation, the main SGR contractor, shifted and adapted its strategies as the pursuit of economic productivity gave way to political priorities in China, simultaneously responding to changing socio‐political circumstances in Kenya and across East Africa. Analysing these dynamics, we highlight the contingencies of, and limitations to, structural reorganisation of actually existing forms of state capitalism in China and beyond.