This document analyzes whether the Recursive InterNetwork Architecture (RINA) could fit within the Transport Services API (TAPS). RINA is a novel network architecture that aims to provide simpler, more secure and powerful networking tools compared to TCP/IP. TAPS is a new transport API that allows deploying new protocols below its interface. The document investigates mapping RINA's transport features to the minimal set of services exposed by TAPS. It finds that some mappings are clear, some are possible with implementation effort, and some are unclear or impossible. It recommends two changes to the RINA API to better integrate it with TAPS: notification of no more user data and obtaining the maximum message size without fragmentation.