The Spain forward broke the shinbone in his left leg in their 4-0 semi-final victory over Al-Sadd, ruling him out for up to five months.
The 30-year-old has returned to Catalonia for surgery and Cesc Fabregas revealed his team-mates are desperate to win Sunday's final against Santos in Yokohama to help boost his spirits.
"We want to dedicate the World Club Cup to Tito Vilanova and Villa," the midfielder said.
Assistant coach Vilanova had an operation on his parotid gland last month.
Barcelona confirmed on their official website they have been given the all-clear by FIFA for their players to wear t-shirts supporting Villa.
The Catalans are in the middle of a season in which Real Madrid currently have the edge in the Primera Division title race, but Fabregas claims the chance to be crowned the best club side in the world is one they do not want to pass up.
"This final is especially exciting because you never know when we'll be able to play it again," he said.
"We want to wear the badge that identifies the champions of the world for a whole season."
Barcelona will start as favourites against Brazilian side Santos, but coach Pep Guardiola is aware of how important it will be to keep 19-year-old forward Neymar quiet.
The Brazil international, who has attracted the interest of big-name clubs across Europe, scored a fantastic individual goal in his side's 3-1 semi-final win over Kashiwa Reysol of Japan.
"On the counter-attack they (Santos) are like Madrid. They're a very dangerous team," Guardiola said.
"Santos are a great team, they win every 50:50 ball. They remind me of the 1992 Sao Paulo team (which beat Johan Cruyff's Barcelona side including Guardiola 2-1 to win the Intercontinental Cup).
"We'll try and stop Neymar touching the ball, and you have to do that by controlling the game. We'll try and disconnect him from the game."
Fabregas added: "If we have the ball, Neymar won't be in it."
The player himself, though, is determined to help his side write their name in the history books.
"It's the most important match not only for me but the whole team. It's a match that can help us leave our mark.
"I'm very calm. Of course we are up against a great team. But for me the most important thing is to play football, tomorrow [Sunday] will be just another game for me.
"We will playing against the best team in the world and that is a dream.
"My goal is to win the title. No matter who scores, we want to make Santos champions."
Barcelona have doubts over the fitness of winger Alexis Sanchez, who replaced Villa in the first half against Al-Sadd only to go off himself late in the game.