The Chronicle claims that one of the conditions of the Spaniard recently agreeing to sign a three-year deal at St James' Park was that he would be given control of all football-related matters, including transfers.
And Dyer has suggested that giving the former Real Madrid boss the power to make all of the decisions will see them stay away from trouble, and that will continue to be the case if they give his successor a similar level of control.
"It's all set in place now that, with Benitez and even if future managers come in when Benitez goes at some stage, they'll be running the club from top to bottom, and they'll be buying the players," he said, as reported by the Chronicle.
"Newcastle will never find themselves in relegation fights again if that's the case."
Despite being relegated from the Premier League this past season, there appears to be a sense of optimism on Tyneside that has not been present for several years.
Benitez was able to make a hugely positive impact on the side despite not having the control that he does now, and also having had to use a squad that he had absolutely no say on, having only joined after the transfer window had closed.
And if Benitez is able to continue making such an impact now that he does have control, then it seems likely that Dyer's prediction about their future prospects may well come to fruition.