Chambers, speaking at a Wall Street Journal breakfast, said he usually avoided commenting on potential deals but would make an exception in this case.
Cisco typically gets "the opportunity for almost every move in the industry" in terms of potential deals, he added.
"If Joe and I were going to do something here we would have done it a year or two ago," he said, referring to EMC CEO Joe Tucci, who is expected to retire in February.
EMC has held merger talks with Hewlett-Packard Co that have since ended and are unlikely to resume, according to people familiar with the matter.
No talks are under way between EMC and any other big technology companies with the firepower to make a sizeable acquisition, including Oracle Corp, Dell Inc [DI.UL] and Cisco, the people said.
People with knowledge of the approaches say Elliott Management, an activist investor in EMC, has spoken to various technology companies, including Dell, Cisco and Oracle, to discuss various options, including a sale. The people said those companies were not interested in those options at this time.
EMC, which has a market capitalization of nearly $61 billion, has rebuffed pressure from Elliott to spin off software maker VMware Inc, a person familiar with the situation told Reuters earlier this month.
Shares of EMC were down 0.6 percent at $29.66 in late-morning trading, while Cisco rose 0.7 percent to $24.88.
© Thomson Reuters 2014