Two JSF apps in one web application

[Mikhail Grushinskiy]

We have 2 JSF applications (2 separate *-faces-config.xml) within a single web app (.war).
One of JSF apps is migrated to facelets from JSP, another will have to stay in JSP for now.
web.xml allows only single value for javax.faces.DEFAULT_SUFFIX.
(need to be .xhtml for facelets and .jsp for JSP).

What is the way to use JSP for one JSF app and Facelets for another within signle web application (web archive)?

Thanks,
--MG