There was no immediate Saudi confirmation or comment.
The facilities attacked included a refinery and oil storage, Al Masirah said, citing a military spokesman. It did not say when the attack took place, Reuters reported.
Shaybah, operated by state-oil company Saudi Aramco, is located in the east of the kingdom, close to the United Arab Emirates border.
The Houthis, who control Sanaa and most of Yemen’s other populous areas, have stepped up attacks against targets in Saudi Arabia in recent months in retaliation against the Saudi-led coalition’s continued aggression on Yemen.
Saudi Arabia and a number of its regional allies launched a devastating campaign against Yemen in March 2015, with the goal of bringing the government of fugitive former president Abd Rabbuh Mansour Hadi, a close ally of Riyadh, back to power and crushing Ansarullah movement.
The US-based Armed Conflict Location and Event Data Project (ACLED), a nonprofit conflict-research organization, estimates that the Saudi-led war has claimed the lives of over 60,000 Yemenis since January 2016.
The war has also taken a heavy toll on the country’s infrastructure, destroying hospitals, schools, and factories. The UN says over 24 million Yemenis are in dire need of humanitarian aid, including 10 million suffering from extreme levels of hunger.