Healy failed to establish himself at Fulham, but it was thought that his old Leeds United manager, Dennis Wise, wanted him at St James' Park.
But reports we heard were that Kevin Keegan didn't rate the Northern Ireland international.
Mackems Snap Up Healy - But Did Newcastle Want Him?
The Cottagers paid Leeds £1.5million for the unsettled marksman last summer and Hodgson admits he could be set to move on once again.
Roy Hodgson: "If David has been spotted at Sunderland he didn't wear that disguise I told him to!
"It's no secret that Sunderland admire David and have talked about a transfer. He's up there for a medical today.
"We'll see what happens now but it's certainly a possibility the transfer could go through."