How to focus a specific node when selected tab changes in JavaFX?

I want to set focus to a specific node in the content of a Tab. I added a ChangeListener to selectedItem property as follows (assume that the class contains a field named secondNode of type Node):

tabPane.getSelectionModel().selectedItemProperty().addListener(new ChangeListener<Tab>() {
    @Override
    public void changed(ObservableValue<? extends Tab> observable, Tab oldValue, Tab newValue) {
        if (newValue != null) {
            Platform.runLater(new Runnable() {
                @Override
                public void run() {
                    secondNode.requestFocus();
                }
            });
        }
    }
});

However, this does not work. I assume the reason is because TabPane performs some additional actions, which affect focus, after the new tab has been selected (but, looking through TabPane source code, I can't figure out what). If I single-step through this code in a debugger, it works as expected, so it appears to be a race condition. If this is so, how can this be resolved?