How to make items in a Tree unselectable

I have a Tree object which contains a few objects of my own class (MenuItem) which has a few simple attributes (mostly Strings). When specific conditions are met, I would like to make some of the items in the Tree are unselectable, so that the user cannot select them in the tree.

Here is how my tree is defined:

Code:

        Tree<MenuItem, ?> menuTree = getView().getMenu();

        TreeSelectionModel<MenuItem> selectionModel = menuTree.getSelectionModel();
        selectionModel.addSelectionHandler(new SelectionHandler<MenuItem>() {

            @Override
            public void onSelection(SelectionEvent<MenuItem> event) {
                MenuItem menu = event.getSelectedItem();
                
                 // some business logic code
                
            }
        });

Is there any way how to do that? Do I need to have a custom selection model for my Tree?