Has anyone experience or knowledge of how to embed a Java Swing app within a C++ based Qt application?

I'm aware of QtJava but I understand this is just a JNI wrapper around the C++ Qt.
I am also aware of how to invoke a JVM from C++ but I would like a solution for embedding the Java Swing Gui withing a Qt Frame of some sort so the Java looks as if it is part of the already exisiting C++ Qt application.

Would it be possible to accomplish something like
QtC++ app -> QtJava model -> Java Swing view ??

Thanks.