Murphy has rejoined former Black Cats boss Roy Keane at Ipswich Town.
The Republic of Ireland international has joined the Championship side on loan until the end of the season.
Nosworthy has also left on loan, joining Championship side Sheffield United for the rest of the campaign.
Sunderland are expected to make one signing of their own today, with right-back Alan Hutton poised to join on loan from Tottenham.
** READ MORE TRANSFER NEWS IN TOMORROW'S NORTHERN ECHO **