Hodgson has agreed to sell Healy to Roy Keane's side after the former Manchester United trainee failed to make an impact at Craven Cottage last season following a £1.5 million transfer from Leeds United.
"If David has been spotted at Sunderland he didn't wear that disguise I told him to!" Hodgson joked.
"It's no secret that Sunderland admire David and have talked about a transfer. He's up there for a medical.
"We'll see what happens now but it's certainly a possibility the transfer could go through."