While high-end computers are key to Ellison's vision, Oracle has been struggling to turn around its hardware division since it acquired that business with its 2010 purchase of troubled Sun Microsystems for $5.6 billion.
Sales have fallen every quarter since Ellison bought Sun, frequently by a larger margin than the company has forecast.
Oracle blames the unit's troubles on plunging sales of low-end computer services running other companies' technology, including Intel's "x86" processors, similar to the chips that power most PCs.
Ellison, who missed last year's Oracle investor event due to the death of Apple co-founder and friend Steve Jobs, told analysts that sales of high-end, higher-margin servers and storage gear based on Oracle's own technology are about to overtake sales of those less profitable machines.
This would clear the way for future growth in Oracle's hardware business.
While Oracle is focusing its proprietary hardware efforts for now on cutting-edge customers, Ellison said he will eventually market his proprietary machines more widely.
"We're not just going after the high-end of the computer market. We're going after the entire computer market, including rooms full of x86s," he said.
Oracle unveiled a raft of new cloud-oriented products at its annual users conference this week in San Francisco. They included an updated version of its top-selling corporate database along with computers.