TMW says the Swiss is playing out his final months at Palermo before he leaves this summer.
Morganella's agents are due to meet with Palermo officials at the end of this season to consider his options. However, all indications are that he will be leaving.
Brighton, having just secured promotion from the Championship, are favourites to land the stopper.
The 27 year-old has been with Palermo since 2009.