Worried that their reputations will be tarnished by their links to FIFA, major sponsors are demanding that soccer's global governing body clean up its act, with Visa even warning it is prepared to jump ship.

Coca-Cola also made it clear it is unhappy with the scandals rocking the organization, which held an emergency meeting Thursday chaired by FIFA President Sepp Blatter.

The meeting comes a day after seven officials were arrested in a dawn raid at a luxury hotel in Zurich and Swiss prosecutors opened criminal proceedings into FIFA's awarding of the 2018 World Cup to Russia and the 2022 tournament to Qatar.

Visa provided the most acute criticism of FIFA, saying it expects the organization to take "swift and immediate steps to address" its issues.

"This starts with rebuilding a culture with strong ethical practices in order to restore the reputation of the games for fans everywhere," it said in a statement. "Should FIFA fail to do so, we have informed them that we will reassess our sponsorship."

Coca-Cola was also among the companies to take a harder stance. "This lengthy controversy has tarnished the mission and ideals of the FIFA World Cup and we have repeatedly expressed our concerns about these serious allegations," the company said in a statement.

The range of companies involved more or less directly with FIFA and the soccer world is large. For most of them, their association with the world's biggest team sport has paid handsome dividends so any decision to bring that to an end won't be taken lightly — so long as they see changes in FIFA's governance and approaches.

They have recently become more vocal about the problems afflicting the organization. Just last week, Adidas, Coca-Cola and Visa urged FIFA to push Qatar to improve conditions for migrant workers as the small Arabian Gulf country prepares to host the 2022 World Cup.

The views of the sponsors aren't something FIFA can ignore, as the sponsors provide almost a third of its revenues. Recent figures showed that the organization generated $5.7 billion in 2011-2014, which encompassed the Brazil World Cup, with sponsors and commercial partners contributing almost $1.6 billion.

Paul Smith, the CEO of New York-based sports and entertainment intelligence firm Repucom, said companies should avoid a "knee-jerk" decision to ditch their connection with FIFA, arguing that the "most prudent path" is "a wait-and-see approach."

Other sports, he noted, have suffered scandals, whether it be baseball or cycling, and in most cases the administrators take action to improve their credibility. That perhaps is best-illustrated by the International Olympic Committee, which has regained its credibility over the past decade since a bribery scandal related to the hosting of the Winter Olympic Games in Salt Lake City in 2002.

And in any case, Smith said, soccer has never been in better shape in terms of its fan-base or commercial opportunities.

"The right move for commercial partners is to stand by the game of football, not the custodians of the game," he said. "A short-term decision to walk away from the game would be negative for the game in the long-term."

As well as Coca-Cola and Visa, FIFA has other long-term partners, including Adidas, which has provided the match ball for every World Cup since 1970. The partners have the right to use official FIFA trademarks in their advertising campaigns, exposure in and around stadiums and protection against ambush marketing.

There are second-tier sponsors, too, such as Budweiser and McDonald's, who pay to be involved during and around the World Cup tournaments themselves.

Beyond those corporations, there are companies that make deals with national soccer associations. In perhaps the most famous association, Nike pays to have the 5-time World Cup winner Brazil wear its shirts.

Though not being directly related to FIFA, Nike appears to have been dragged into the scandal after the Department of Justice indictment that lay behind Wednesday's raids in Switzerland. The indictment mentioned a "multinational sportswear company headquartered in the United States" in connection with bribery allegations involving Brazil stemming back to a sponsorship deal in 1996. Nike has provided Brazil's outfit since that year.

Without directly referring to speculation it is that multinational company, Nike said it was concerned by the "very serious allegations" and was cooperating with authorities. "Nike believes in ethical and fair play in both business and sport and strongly opposes any form of manipulation or bribery," it said.

Besides the sponsors, there are marketing agencies that buy up media and marketing rights for different FIFA competitions and in turn sell them on. One such company is Traffic Sports USA, which was named in the U.S. charges Wednesday.