Ford's

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continuing restructuring might involve more job cuts than the automaker has already planned, according to a published report.

The

Detroit News

said Ford might announce as soon as Friday that it's going to terminate additional salaried workers. The exact number hasn't been set, the paper reported, but it cited people with knowledge of the matter who said the job reductions could exceed 4,000.

Ford is undertaking an extensive reorganization that involves thousands of workforce cuts and numerous plant closings. Last week, the company named a new chief executive, Alan Mulally, who had been with

Boeing

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. Former CEO Bill Ford will serve as chairman.

Shares of Ford were down 7 cents to $8.70 in premarket trading.