Although Leeds would not want to part with possibly the most popular player at Elland Road, an offer in the region of £4m would certainly make them think and allow them to bring in new faces. It would also ease some of the financial pressure that remains on the club.
Charlton and Wigan are both thought to be weighing up possible January bids for the striker.
Healy has been in excellent form during his country's Euro 2008 qualifiers, scoring a hat-trick against Spain and following that up with the winning goal against Latvia on Wednesday.
Addicks boss Iain Dowie was at Windsor Park, while Paul Jewell is believed to have sent scouts to watch him in action in Copenhagen last weekend in a 0-0 draw with Denmark.
Early reports suggest that Leeds value the 27-year-old at £2m, although chairman Ken Bates will hope interest from a number of clubs will drive up the price.
Healy is unlikely to turn down the chance to play regular Premiership football.