But the newspaper says sources at the club have revealed that both businessmen have asked not to be seated next to one another.
Hicks is travelling to London with a party of 12 while Gillett is flying in from Colorado with his son, Foster.
It is the latest manifestation of the fall-out and in-fighting behind the scenes at Anfield, where Liverpool's chief executive, Rick Parry, has called for a resolution to be found at the earliest possible opportunity for the good of the football club.
Gillett recently ended his silence by admitting that his relationship with co-owner Hicks has broken down, probably irreparably.
Parry wants a solution to the problem this week if possible.
Dubai International Capital are reportedly keen to launch a full takeover of the club, but Hicks has so far refused to do business unless he can retain a controlling share.
Gillett, though, seems more amenable to a DIC takeover, describing them as, "responsible" owners."