Catalysis of the PEP-dependent, phosphoryl transfer-driven transport of substances across a membrane. The transport happens by catalysis of the reaction: protein N-phosphohistidine + N,N'-diacetylchitobiose(out) = protein histidine + N,N'-diacetylchitobiose phosphate(in).
protein-N(PI)-phosphohistidine-N,N'-diacetylchitobiose phosphotransferase system transporter activity