A liquid-cooling assembly includes two or more cooling sub-assemblies and a flexible interconnect assembly. The two or more cooling sub-assemblies are configured for cooling two or more respective pluggable connector-cages, each cooling sub-assembly including (i) a heat-conducting plate for coupling to a respective pluggable connector-cage, and (ii) a liquid-conducting channel having an inlet and an outlet for flowing cooling liquid. The flexible interconnect assembly is configured to transfer the cooling liquid to and from inlets and outlets of the cooling sub-assemblies, and to mechanically support the cooling sub-assemblies while permitting motion of the cooling sub-assemblies relative to one another.