The midfielder was quoted in the Daily Mirrorabout the necessity to prevent Jurgen Klopp’s men from continuing their mean streak in front of goal.
The Reds have plundered 14 goals in just five matches so far this season – including four at home to reigning Premier League champions Leicester City last Saturday.
Hazard has been part of a resurgent Chelsea side that, despite sitting second in the league standings, have only kept one clean sheet this term.
The 3-0 home victory over Burnley is the only time that Antonio Conte’s charges have stopped an opposing side from notching at least one goal against them.
And the Belgian forward called on his fellow Blues stars to work together to keep Liverpool at bay at Stamford Bridge.
He said: “We have had three games, three wins [before the 2-2 draw with Swansea].
“We played some good stuff. We scored goals. But also conceded them.
“Apart from before the international break [in their 3-0 win over Burnley], we have conceded goals.
“We have always conceded one or two goals, which is a shame.
“It’s up to us to work harder defensively, to be more solid, and to score more goals to put on more of a show and win matches.”
Hazard, who has begun 2016/17 in impressive form, has also been left delighted at the form of striker Diego Costa.
The rejuvenated Spain international has notched four goals in as many games for Chelsea this campaign – a far cry from the Costa that was seen throughout 2015/16.
Liverpool boss Klopp has already stated that his side will need to find a way to contain the 27-year-old in West London if they are to leave the capital with anything to show for their efforts.
And Hazard believes the in-form Costa’s performances so far this season have been worthy of praise.
He added: “We love him, that’s the most important thing. We love him.
“He’s very important for us. He scores important goals. He’s a great player, a great goal scorer, and we’re very happy to play with him.”