Dave Bassett's Blades were giving chase to Howard Wilkinson's Whites in both the title race and automatic promotion picture back when only the top two teams went up to the old Division One.
A Sheffield United victory at Elland Road on the Bank Holiday Monday of April 16, 1990 would have piled the pressure on Leeds with just four games to go.
Yet Wilkinson's side steam-rollered the Blades 4-0 and Speed's goal put the icing on the Whites cake in front of a crowd of 32,727 for Elland Road’s biggest gate of the season.
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Wilkinson had a specific game plan for his side to pressurise Blades keeper Simon Tracey who was picking the ball out of his net in the 17th minute after Gordan Strachan netted from close range following a goalmouth scramble.
Leeds led 1-0 at the break and then bagged three goals in the final 16 minutes to finally put the Blades to bed.
Speed set up the first of them as the winger raced away down the left flank and sent in a low cross that flew under Tracey and was converted at the far post by a sliding Lee Chapman.
Blades stopper Tracey's miserable afternoon then continued as he hauled down Bobby Davison in the area and Strachan coolly converted the spot kick into the left hand corner.
But the fourth goal proved the pick of the bunch and one that would be remembered forever with an iconic piece of commentary from club commentator John Boyd.
Speed had been excellent all game and was once again sent clear by a beautiful pass from Chris Kamara with the outside of his boot.
The Whites winger raced towards 'keeper Tracey with the Blades defence chasing his shadow.
“Go on Gary Speed get one yourself son" said an excited Boyd in the commentary.
And Speed did just that as the winger unleashed a low shot that Tracey was unable to prevent from from nestling into the far right corner of the net.
Leeds were 4-0 up, out of sight, and despite some more late jitters, would not be caught in the Division Two promotion or title race as Wilkinson's Whites went up as champions.
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Thank you Laura Collins