Liverpool hung on after having goalkeeper Alisson Becker sent off to beat Brighton & Hove Albion 2-1 and extend their lead at the top of the Premier League to 11 points thanks to two first-half headers from defender Virgil van Dijk.
Liverpool, who also equalled their unbeaten top flight run of 31 games set between May 1987 and March 1988, have 40 points from 14 games, with second-placed champions Manchester City on 29 after they were held to a 2-2 draw at Newcastle United.