Spot problems with circular dependency

I am designing a system where two modules, one which gestions files and another users. For certain logic operations, they need the services offered by each other.

Each module is represented by a singleton which implements a interface offering some services to each other, with abstract factories to provide them, like so:

public class UserMain implements UserInternalService {

/*
 * Internal interfaces
 */
/**
 * Allows interaction with the projects database.
 */
FilesInternaService fileSystem;

/**
 * Constructor is private, as this is a singleton.
 */
protected UserMain() {
}

private static UserMain singleton = null;

/**
 * Singleton factory. Returns a reference to the singleton. If there is no
 * reference yet, creates it.
 */
protected static synchronized UserMain getReference() {
    if (singleton == null) {
        singleton = new UserMain();
        singleton.fileSystem = FileMain.getInternalService();
    }
    return singleton;
}

/**
 * Factory method for the singleton as a UserInternalService
 */
public static UserExternalService getUserExternalService() {
    return getReference();
}

}

And the file module main class is like so:

public class FileMain implements FilesInternaService{

/**
 * Interface to user subsystem for request validation, etc.
 */
UserInternalService userSystem;

/**
 * Creation of instances aside from singleton disallowed.
 */
protected FileMain(){};

private static FileMain singleton = null;

/**
 * Singleton factory.
 * Returns a reference to the singleton.
 * If there is no reference yet, creates it.
 */
protected synchronized static FileMain getReference(){
    if(singleton == null)
        singleton = new FileMain();
        singleton.userSystem = UserMain.getUserInternalService();
    return singleton;
}

/**
 * Abstract factory for Internal Services singleton.
 * @return
 */
public static FilesInternaService getInternalService(){
    return getReference();
}
}

I am not enterely sure that I am correctly handling the circular dependency. Is there any way this may break unexpectedly?