HP said in a statement that it is in "advanced talks" over a deal with EDS, but revealed little else on the matter.
"There can be no assurances that an agreement will be reached or that a transaction will be consummated," the company said.
"HP does not intend to comment further until an agreement is reached or discussions are terminated."
The Wall Street Journal and The New York Times cited sources close to the negotiations in reporting that HP would pay US$12 billion to US$13 billion to acquire EDS.
If true, the deal would be HP's most expensive acquisition since paying US$20 billion for Compaq in 2002.
A deal between HP and EDS would also bring together two of the so-called Big Six players in the outsourcing industry, a list which also includes IBM, Accenture, ACS and CSC.