Jumaili was killed with other Islamic State commanders in a strike carried out by the Iraqi air force in the region of al-Qaim, near the border with Syria, the channel said, without giving the date of the raid.
At least 14 dead in Islamic State truck bomb at Baghdad checkpoint
The TV described Jumaili as Islamic State's "second-in-command" and "war minister".
The spokesperson of the US-led anti-Islamic State coalition couldn't immediately be reached for comments.
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