The former England international has backed the ex-United States manager to replace the outgoing Lioness coach when he steps down at the end of his contract in summer 2021.
She told Sky Sports: "he has that pedigree and she has that experience.
"She's worked with some of the best footballers - elite athletes - in the world.
"The England women's team now are at that point where they're getting to semi-finals and now need to be getting to a final and winning it, winning World Cups, winning European Championships."
Ellis was in charge of the USA team when they started their legal battle for equal pay, and Aluko suggested the English FA would have to do the right thing.
She called on the association to get the manager on board, and to pay her the same as Gareth Southgate earns for leading the men's side.
She added: "The contract she's probably going to command is going to be very, very high and it's whether the FA are willing to invest that amount of money.
"I'm talking about commensurate to what Gareth Southgate's paid. They're coming from that equal-pay expectation, so I think the contractual issue will be a big one."