The volcano is in the middle of a three-month eruption of lava which has been spewing since May and has covered 13.4 square miles of the island's surface.
After Monday, the storm is forecast to weaken to a Category 2 or 1 hurricane.
Forecasters with the National Weather Service say "Hector will cross into the local region from Tuesday night into Thursday, though it remains too early to determine precise impacts on island weather at this time".
Hawaii emergency officials are keeping track of a hurricane that's expected to pass to the south of the islands this week.
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Hector is moving west at a rate of 12 miles per hour with maximum sustained winds of 125 miles per hour.
However, Hector is expected to still be a major hurricane when it moves into the central Pacific basin", according to the NHC. "After that, gradual weakening is forecast Monday night through Wednesday".
Rain: Rains from the deep tropical moisture surrounding Hector could affect the Puna and Kau Districts of Hawaii Island, and some of those rain showers may be locally heavy at times, especially on east and southeast-facing slopes.
Scientists have differing opinions over how hurricanes and volcanoes might interact, including the question of whether low atmospheric pressure could help trigger an eruption.