Liverpool's win against Manchester United, extended their lead at the top of the table to 16 points with a game in hand.
The Reds were the superior side but faced late United pressure as they defended Virgil van Dijk's 14th-minute header before wrapping up the win in style in injury time - goalkeeper Alisson's long clearance setting Mohamed Salah clear to spark wild celebrations among supporters now convinced that long wait is coming to an end.
Liverpool could have emphasised their superiority as Roberto Firmino had a goal contentiously ruled out by VAR for Van Dijk's foul on United's goalkeeper David de Gea.
Liverpool manager Jurgen Klopp: "It's a big relief, I was really happy with 85-90% of the game, we were brilliant. We dominated the game, especially in the first half. The energy they put on the pitch was incredible.
"On a normal day we would have scored three times in the first half and in the second half until 65 minutes we should have been more clear.
"But then United have obvious quality, played a bit more football and we had to defend. There were little mistakes here and there, we didn't use possession well enough and so the game stays open.
"Then we scored a wonderful, wonderful goal at the end, a really good feeling."
Manchester United manager Ole Gunnar Solskjaer: "The players gave us everything. Today we hung on a bit at the start of second half, but the last 25-30 minutes we pressed them and pushed them back. I'm disappointed with conceding from a corner and with the last kick - but very many positives.
"I felt in the second half we performed really well against a good team and at a difficult place.
"We didn't have quality with our finishing or last pass. Fred was absolutely top and David de Gea. As a team we worked together as a unit."
Meanwhile Burnley win lifts them to 14th - five points above the relegation zone. Leicester have now lost four times in their last six league games.