HP's board is close to appointing a successor to former chief executive Mark Hurd, who was forced to leave the company in August.
Hurd resigned after an internal investigation at HP alleged he had made inaccurate expense claims and concealed a relationship with events contractor Jodie Fisher.
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Cathie Lesjak, HP's chief financial officer, has served as interim CEO since Hurd left, but has said she did not want to take over the post permanently.
HP is likely to appoint someone from within the company, according to US reports citing inside sources.
The shortlist is believed to include Vyomesh Joshi, who runs HP's printer business, Todd Bradley, head of the personal computer division, Dave Donatelli, who runs the storage and server unit, Tom Hogan, executive vice president of enterprise sales and marketing, and Ann Livermore, executive vice president of the enterprise business.
Analysts have named outsiders such as IBM's Steve Mills as potential candidates, but HP will be able to move forward faster without any problems of restraint of trade agreements if they appoint from within the company.
According to reports, HP could announce a new chief executive as soon as this week.