Thanks to Chaosit, I came up with this solution:
In res/xml you create a selector file, e.g. selector.xml
<?xml version="1.0" encoding="utf-8"?>
<selector xmlns:android="http://schemas.android.com/apk/res/android">
<item android:drawable="@drawable/image_with_overlay" android:state_pressed="true" />
<item android:drawable="@drawable/image" />
</selector>
In res/drawable, you then create a layer-list, e.g. image_with_overlay.xml
<?xml version="1.0" encoding="utf-8"?>
<layer-list xmlns:android="http://schemas.android.com/apk/res/android">
<item android:drawable="@drawable/image" />
<item android:drawable="@drawable/overlay_image" />
</layer-list>
Then in the View
that you want to have this property, you simply use android:background="@xml/selector"
Then you're all done :-)