But Universities Minister David Willetts said Mr Miliband's call for a tuition fee cap made Labour's vote against fee increases last year look "completely cynical".
West of Scotland Labour MSP Mary Fee called on the Scottish government and its agencies to work with Renfrewshire Council to minimise the impact of job losses.
Shadow education secretary Tim Yeo told BBC Radio 4's World This Weekend that Labour's top-up fee proposals would damage universities' independence and burden students with debt.