A computer device instantiates a first Transport Layer Security (TLS) endpoint having access to a trusted execution environment (TEE) of the processor; generates in the TEE in an endpoint-specific public-private key pair bound to the first TLS endpoint; generates of attestation data verifying that the endpoint-specific public-private key pair was generated in the TEE and is bound to the first TLS endpoint; and signs the attestation data in the TEE using a TEE private key securely embedded in the processor. The device generates a TEE signature using an endpoint-specific private key of an endpoint-specific public-private key pair; and indicates of the attestation data, an endpoint-specific public key of the endpoint-specific public public-private key pair and the TEE signature to a second TLS endpoint within a TLS handshake message exchange between the first TLS endpoint and the second TLS endpoint.