Saudi construction and infrastructure projects require material flows that are reliable, compliant, cost-effective, and environmentally responsible due to the rapid pace of construction and infrastructure development across the Kingdom. This review examines the role of third-party logistics providers in sustainable material procurement for Saudi projects, with particular attention to public works contracts, local content, digital tendering, warehousing, expediting and supplier performance management. The paper synthesizes studies published between 2020 and 2025 and develops an integrated operating model that positions logistics providers as procurement orchestration partners rather than transport subcontractors. The review shows that sustainable procurement in Saudi construction is not limited to selecting low carbon products. It depends on early logistics involvement, supplier qualification, material traceability, consolidation hubs, packaging reduction, route optimization, reverse logistics, evidence-based supplier scoring and governance aligned with national industrial and logistics priorities. Existing literature highlights advances in electronic tendering, public procurement reform, construction logistics and digital supply chain capabilities, yet it gives limited attention to how 3PL providers connect these domains within large, geographically dispersed projects. The proposed framework addresses that gap by linking procurement planning, warehouse control, expediting, quality verification and sustainability reporting. The study contributes a review-based agenda for clients, contractors, logistics providers and policy makers seeking to reduce delays, improve transparency, support local suppliers and lower material related environmental impacts in Saudi infrastructure delivery.