ListView contentHeight not updated correctly if model is set after construction

import Qt 4.7

Item {
    width: 800
    height: 480

    ListModel {
        id: listModel1
        ListElement { text: "Apple" }
        ListElement { text: "Banana" }
        ListElement { text: "Orange" }
        ListElement { text: "Coconut" }
    }

    ListModel {
        id: listModel2
        ListElement { text: "Bird" }
        ListElement { text: "Elephant" }
        ListElement { text: "Seal" }
    }

    Rectangle {
        width: 200
        height: listView.contentHeight
        color: "yellow"
        anchors.centerIn: parent

        ListView {
            id: listView
            anchors.fill: parent

            model: listModel1   // Comment me out to show issue
            delegate: Item {
                width: 200
                height: 20
                Text { text: model.text; anchors.centerIn: parent }
            }
        }
    }

    MouseArea {
        anchors.fill: parent
        onClicked: listView.model = (listView.model == listModel1 ? listModel2 : listModel1)
    }
}