Dens Park Stadium | Wednesday 23 March 1960
| Dundee | 1 | - | 0 | Liverpool |
Slater, Molyneux, Byrne, White, Leishman, Morrissey, Wheeler, Harrower, A' Court, Hickson, Hunt.
Dundee: Liney, Hamilton, Cox, Ure, Smith, Cowie (sub Henderson), McGeachie, Penman, Waddell (sub Gilzean), Cousin, Robertson.
The Dundee manager was Bill Shankly's brother Bob.
Dundee’s goal was an own goal by Bert Slater in the 19th minute, when he stepped back over the line after catching a Hugh Robertson corner.