The whites were in the class above Frank Lampard's side and entered the game behind four consecutive victories.
Coventry scored two goals in a break when Pillow's skillfully filmed finish was handed a gift from goalkeeper Oliver Dovin, when Ellis Sims made him pay for his mistake Only for doing so could I blame myself.
Leeds could have done much more for Dovin, who rejected Solomon's Mansion, Pillow and Ragie Ramazani.
Daniel Fark's side has developed the scoring habit early in the recent game, attacking this time in the 17th minute.
Sims delved deep into his own half of his own and played straight for Solomon.
Coventry was the creator of his downfall and could only see himself when United soared to a 2-0 lead.
Bogle seemed to have touched the ball too much after he ran into the area, and touched Doubin's grip too much, but the goalkeeper spilled it on the defender's path, which slotted it behind the net. Ta.
Leeds pushed more, and Daniel James grabbed the long ball above the top, but he shot Dovin straight.
The visitors were in full control and Coventry struggled to play from behind against the fierce Leeds Press.
United picked up from where they left off before the interval. Solomon chose James, who has proven to be a threat to the Sky Blues' defense and could only fire on the side net.
Coventry thought they were on the scoresheet, but Iran Mesley fell and produced a great save to deny the Sims header.
The hosts were beginning to get caught up in the counter as they chased their way back to the contest – Dovin denied Leeds twice by stopping low excavation efforts from Solomon and Pillow.
Dovin may have been responsible for Leeds' second, but he took an inspired form to keep his side, spreading himself out to stop Ramazani with his feet .
Meslier kept his clean sheet intact by tilting Bobby Thomas' header to the bar, but Wilfried Gnonto's slow efforts were belatedly ruled out due to offside on the other side.
