According to various aspects of the present disclosure, exemplary embodiments are disclosed of thermally-conductive interface assemblies suitable for use in dissipating heat from one or more components of a memory module. The thermally-conductive interface assembly may generally include a flexible heat-spreading material having first and second sides and one or more perforations extending through the flexible heat-spreading material from the first side to the second side. The flexible heat-spreading material may be sandwiched between first and second layers of soft thermal interface material. A portion of the soft thermal interface material may be disposed within the one or more perforations. The thermally-conductive interface assembly may be positioned relative to one or more components of a memory module to provide a thermally-conductive heat path from the one or more components to the first layer of soft thermal interface material.