Microsoft released a hotfix KB2899591 for Outlook 2010. This hotfix adds MAPI/http support for Outlook 2010 clients. So now can switch if you are using Exchange 2013 SP1 or later from RPC/http to MAPI/http.
See KB2899591 for the additional fixes that are included in hotfix as well.
You can request the hotfix for x86 and x64 versions of Outlook 2010 here.