Rumours abounded of a giant war chest being made available to the Reds boss this close season following the takeover by Gillett and fellow American tycoon Tom Hicks earlier this year.
Superstars such as Samuel Eto'o and David Villa were mooted as possible transfer targets for the Merseyside club, but with little business transacted so far this summer it has been suggested that financial restrictions have forced Benitez to lower his sights somewhat.
As a result, reports have claimed that the former Valencia coach is disillusioned with the new regime at Anfield, but Gillett has angrily denied that there is a rift.
"I read that Rafa is throwing hand-grenades at us and making demands, that there's a tension or disagreement between him and the Gillett and Hicks families," Gillett said in The Times.
"Nothing could be farther from the truth.
"As far back as February, Rafa laid out a programme for us.
"Each one of our sports businesses has a core concept. You can't just flop around looking at opportunities here and there, go left, go right. It has to be part of an integrated plan.
"We have one at Liverpool, one we understand 100%, believe in and support. The plan involves us spending money, but it will be part of a plan, not just spending like a drunken sailor."
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