Murray is trying to become the first British man to win the Wimbledon singles title since Fred Perry in 1936, and the first Scot ever to win a Grand Slam singles title.
And the interest in the Scot's progress is such that fans began queuing for the 500 tickets Centre Court tickets available over two days in advance.
His quarter-final follows what is likely to be a serve-dominated contest between second seed Roger Federer and Ivo Karlovic on Centre Court, where play begins at 1300 BST.
It means Murray and Ferrero should avoid the worst of the hot weather forecast for Wednesday, when it is set to be dry with temperatures topping 30C.
The Scot came through a four-hour battle against Stanislas Wawrinka to win his fourth-round match on Monday, finishing late at night in the tournament's first full floodlit match under Centre Court's new roof.
"I believe I can win Wimbledon," he said. "That's not changed since the first match, but I'm going to have to play great tennis to do it."
Pundit's Picks - Men's quarter-finals
Ferrero is a former world number one and French Open champion but the 29-year-old has slipped down the rankings and spoke recently about possibly retiring at the end of 2009.
However, a run to the last four at Queen's Club appears to have rejuvenated the Spaniard.
He has already beaten 10th seed Fernando Gonzalez and eighth seed Gilles Simon at Wimbledon, and is the first wildcard since eventual champion Goran Ivanisevic in 2001 to reach the last eight.
"I think right now I'm with a little bit more rhythm than at Queen's," said the Spaniard.
"And of course after the match I played against Murray, I learnt something. That is, I have to do my job and be aggressive all the time, because he likes to play on one level and then he changes the rhythm very fast.
"I think it's very difficult to play against him because of this, so I will try to be focused on my return, because his serve has been very, very big.
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