The Texas-based PC giant spent $876m buying Compellent Technologies last month and is looking to follow that up with a purchase that will bolster its security credentials.
The terms of the deal have not been disclosed but the response on the markets seems to be favourable with Dell's share price rising in pre-market trading.
Dell has described the move as the next step in its services acquisition strategy which will strengthen its position to provide a managed security service, sitting alongside its BPO and outsourcing options.
"The frequency and sophistication of attacks on technology infrastructure and malicious attempts to access data, requires reliable, capable and innovative information security," said Peter Altabef, president, Dell Services.
"SecureWorks is a recognized industry leader in information security services and its offerings and expertise will immediately enhance our solutions portfolio," he added.
Michael Cote, CEO and chairman of SecureWorks said it would use the opportunity from the acquisition to expand its business.