Sunday's 2-1 victory over Chelsea was the Reds' 15th consecutive top-flight win, equalling a mark reached by Man City earlier this season.
Only one side have bettered that return.
Guardiola's side achieved an 18-match winning run in 2017 and were on course to match or improve that tally last month before being held to a 2-2 draw by Tottenham Hotspur.
Liverpool have the record within their sights.
The win at Stamford Bridge has secured another landmark for Liverpool.
They also became the first team in top-flight history to win their opening six matches of a season in two successive campaigns.