Enrollment over Secure Transport (EST) is a certificate provisioning protocol over HTTPS [RFC7030] or CoAPs [RFC9148]. This document specifies how to carry EST over the Constrained Application Protocol (CoAP) protected with Object Security for Constrained RESTful Environments (OSCORE). The specification builds on the EST-coaps [RFC9148] specification, but uses OSCORE and Ephemeral Diffie-Hellman over COSE (EDHOC) instead of DTLS. The specification also leverages the certificate structures defined in I-D.ietf-cose-cbor-encoded-cert], which can be optionally used alongside X.509 certificates.