"So far, I haven't seen anything that says we should be worried," said Dave Aitel, CEO of the security firm Immunity. "We haven't seen anything that has been a high profile site. A lot of the sites that are hacked are similar, low-budget sites."
One of the hacking groups involved, AnonGhost, claimed responsibility for the defacement of more than 700 websites around the world and leaking personal information for 10,000 credit cards. The group also claimed to have hacked 5,000 Facebook accounts.
While security breaches to major financial institution may not occur, the government and security firms warned companies earlier this week to be aware and take precaution.
(Read More: Inside a Cyber War Room)
Symantec cautioned that attacks may occur in the form of denial of service attacks, social media and website defacements, attacks on company servers and even possible attacks on the systems that control infrastructure, like transportation and the electrical grid.
The attackers claim to be Middle Eastern and associated with the hacking group Anonymous.