As many as 7,000 jobs would be eliminated by the end of August, the people told the agency.

Cisco is also providing early-retirement packages to about 3,000 workers who took buyouts, according to Bloomberg.

Early on Monday, Reuters reported that Cisco may slash about 5,000 jobs to meet Chief Executive John Chambers' goal of slashing costs by $1 billion. Reuters had cited Gleacher & Co analyst Brian Marshall.

"As we announced on our Q3 earnings call, Cisco will take out $1 billion in costs from our FY 12 expense run-rate as part of our efforts to streamline company operations, including a planned reduction in workforce. We will provide additional detail on the cost reductions, including layoffs, on our next earnings call on Aug 11," Cisco spokeswoman Karen Tillman told CNBC.

Cisco shares closed down about 2 percent at $15.43, in a market that was broadly lower due to concerns about the U.S. budget talks and the euro zone debt crisis.

Chambers, who is set to speak at a company event in Las Vegas on Tuesday, is working to turn around the Silicon Valley bellwether.

He has said the company's next fiscal year starting in August would not live up to the company's previous growth expectations.

Marshall's estimate for job cuts at Cisco is higher than the previous forecasts of up to 4,000 jobs that are in danger of being eliminated.

The pending job cuts "will help right the ship" and achieve a reduction in operating expenses by about $1 billion annually, Marshall said in a note to clients.

Cisco would also need to lower its long-term revenue growth target to about 10 percent from a forecast of 12 percent to 17 percent, Marshall said. Cisco's revenue has increased 11 percent over the past five calendar years.

Cisco warned in May that it planned to trim its workforce as part of a plan to cut some $1 billion in costs from its annual budget but did not disclose how many jobs would be cut.