Jürgen Klopp’s side’s penultimate top-flight game of the season looked set to finish level after leads earned by Virgil van Dijk and Mohamed Salah were cancelled out by Christian Atsu and Salomon Rondon at St James’ Park.
However, Origi - brought on in place of Salah, who was stretchered off following a collision with Martin Dubravka in the second half - dramatically snatched victory by glancing home Xherdan Shaqiri’s 86th-minute free-kick.
The win moves Liverpool onto 94 points - two clear of Manchester City, whose 37th match of the campaign comes on Monday when they host Leicester City.