Two way SSL with Jira REST Oauth 1.0a


I have a standalone web app that allows the users to connect their Jira account with the app account through OAuth 1.0a implementation.

I have a client that wants SSL 2-way connections between my server and their Jira server for security reasons, and I haven’t found a way to do it (I don’t think it’s possible since it’s redondant with the OAuth protocol already allowing both parties to identify themselves to the other).

Anyone has any ideas ?