Celtic will play Dundee United at Hampden on Sunday, March 15, the middle of three successive fixtures between the clubs.
The first of those games, a Scottish Cup quarter-final tie at Tannadice, takes place this Sunday. United also travel to Celtic Park on league duty the weekend after the League Cup showpiece.
Dundee held Celtic to a 1-1 draw in the previous league meeting at Dens Park in August, but the visitors won 2-0 in the Scottish Cup clash between the teams a month ago.