The American duo are expected to attend Sunday's match against the league leaders, in which Liverpool will attempt to halt a run of four straight defeats.
Liverpool are eighth in the Premier League table, with four defeats in their nine games so far, while they are also facing an uphill battle to qualify from their group in the Champions League.
Injuries to key duo Steven Gerrard and Fernando Torres have weakened Liverpool's hopes of ending their long wait for a domestic title.
Gillett attended Tuesday's Champions League defeat by Lyon, where a large banner on the Kop claimed fans had been lied to by the owners.
Hicks and Gillett have admitted they are keen to attract new investment to the club, with a key aide of Saudi Arabian Prince Faisal telling BBC Sport that a bid for a large stake in the club is a possibility.
Gillett also watched Italian midfielder Alberto Aquilani - a £20m purchase during the summer who has been battling to recover from an ankle injury - make his club debut for the reserves at Tranmere the following night.
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