(CNN) Hurricane Humberto continues to strengthen and has become a major hurricane as it moves away from the United States toward Bermuda.

With maximum sustained wind speeds of up to 115 mph -- and gusts up to 125 mph -- Tuesday evening, the large Category 3 storm is forecast to pass dangerously close Wednesday night to Bermuda.

A hurricane warning has been issued by the Bermuda Weather Service. Such a warning is issued when hurricane conditions are expected within the next 36 hours.

"With its current track and cone, the possibility of a significant impact to Bermuda remains a possibility," CNN meteorologist Chad Myers said.

The concern is not a direct landfall -- though that is still a possibility -- but that the island is now more likely to experience near-hurricane-force conditions because the wind field has expanded.

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