The Glasgow rivals meet at Hampden Park for a place in the final for the second consecutive season. The two sides also met at the national stadium earlier this campaign in the Betfred Cup semi-final, which Celtic won 1-0.
Holders Hibs will take on Aberdeen the day before on 22 April. That match will begin at 12.15pm.
Having gone 114 years without winning the nation’s premier cup competition, the Easter Road club will be looking to make it to back-to-back finals, and their fourth appearance in the showpiece match in the past six seasons.