The Mirror says momentum is building behind Benitez.
The Madrileno retains the backing of some senior players in the dressing room, including Pepe Reina, Daniel Agger and Lucas.
They were disappointed when he left the club two years ago and would like to see him return.
FSG chief John W Henry cannot ignore the Kop and he knows how potent they are after witnessing how they effectively forced his hand over Roy Hodgson in January 2011.
The Fenway Sports Group supremo will know they could also turn against a rival candidate like Wigan Athletic manager Roberto Martinez.