El-rufai announced his status via a video he uploaded on his social media handles on Saturday.
His result makes him the second governor to test positive for the virus in Nigeria, after Bala Mohammed, his Bauchi counterpart.
El-Rufai said he took the test earlier in the week and has gone into self-isolation after his results came out positive.
The governor added that he is asymptomatic.
He urged residents of the state to adhere to the preventive measures stipulated by the Nigeria Centre for Disease Control (NCDC)
He further announced that Hadiza Balaraba, his deputy, will chair the state’s coronavirus task force.