United finished fourth in the First Division behind champions Arsenal, Liverpool and Crystal Palace.
On April 13, 1991, though, a game to be remembered played out at Elland Road against the Reds.
The Whites lost 5-4 to Liverpool in what was a thriller in West Yorkshire.
The visitors raced into a four goal lead after 28 minutes and Wilkinson's men looked beaten already as the half-time whistle sounded.
Lee Chapman had other ideas has he bagged a second half ha-trick along with Carl Shutt finding the back of the net.
A second John Barnes goal, though, was enough to see off Leeds who put the visitors under late pressure as they fought for a point.
Take a look back at some of the pictures from a memorable clash between Leeds and Liverpool alongside photos from the 1990/91 season below:
1. Leeds 4 Liverpool 5
John Lukic holds out a despairing hand as Ray Houghton's shot goes wide.
3. Leeds 4 Liverpool 5
Liverpool's David Speedie powers forward with Jan Molby watching on. He scored for the Reds that day.
4. Leeds 4 Liverpool 5
Lee Chapman beats Steve Nicol to the ball in an aerial duel. Glen Hysen, Ray Houghton, David Burrows and Jan Molby look on.
6. Leeds 4 Liverpool 5
David Batty battles for the ball with Gary Speed from Liverpool's Ian Rush.