Burns, who made his England debut against New Zealand in the autumn, injured a knee against Mont-de-Marsan in the Amlin Challenge Cup and has not featured in the RBS Six Nations to date.
Morgan started the win over Scotland at Twickenham before injuring his ankle. Twelvetrees has started both England games to date.
The following players will be made available to return to their clubs on Wednesday evening and be available for selection for Aviva Premiership Round 15:
Danny Care (Harlequins), Toby Flood (Leicester Tigers), Dylan Hartley (Northampton Saints), Courtney Lawes (Northampton Saints), Manusamoa Tuilagi (Leicester Tigers), Mako Vunipola (Saracens), Thomas Waldrom (Leicester Tigers) and David Wilson (Bath Rugby).