The Chelsea striker could be sidelined for up to six weeks with a calf injury, according to manager Claudio Ranieri.
Manager Gerard Houllier could sign a goalkeeper on a short-term deal with Chris Kirkland and Jerzy Dudek both sidelined through injury.
The 1-0 victory gave Chelsea top slot in the premier league, ahead of Arsenal.
Chelsea moved 12 points clear of Arsenal, who suffered their fourth defeat in nine league matches, while fourth-placed Liverpool fell 13 point adrift after their wretched 2017 continued with a shock 2-0 defeat at resurgent Hull City.
Chelsea coach Claudio Ranieri said his team's positive approach held the secret to their spectacular 4-0 Champions League away win over Lazio.
Hazard, who will face his former manager when Chelsea host United in the league next Saturday, admitted he made a complacent start to that campaign.
Chelsea manager Maurizio Sarri is uncertain if Kepa Arrizabalaga will start Wednesday's English Premier League match against Tottenham Hotspur after the goalkeeper's refusal to be substituted in their League Cup final defeat by Manchester City.
The centre-back has not played since Sarri took over from Antonio Conte at the start of the season, and says he could call time on his career at Stamford Bridge when the transfer window reopens if his situation does not improve.
Following is a match by match look at the English Premier League's weekend fixtures:
Guus Hiddink believes it is still possible for Chelsea to finish in the English Premier League's top four but has told the club's players to have a long look in the mirror.
The Premier League's leading goalscorers will be on show at when surprise leaders Leicester City bid to move further ahead at the top with victory against Everton at Goodison Park on Saturday.
Leicester City's remarkable Premier League triumph after starting the season as 5,000-1 outsiders transcends sport and might never be repeated, according to the league's executive chairman Richard Scudamore. Leicester, who were on the brink of relegation last campaign, clinched the English league title for the first time in their 132-year history on Monday after second-placed Tottenham Hotspur drew with Chelsea at Stamford Bridge. Mauricio Pochettino's men trail the Foxes by seven points with two games left to play. "We've had our peaks before. This one, though, is bigger than sport. It has much more human interest in it," Scudamore told The Times. "It's a life-affirming story, which is why it's attracted more interest than you'd normally get.
Champions Arsenal eased to a comfortable 2-0 home win over Middlesbrough on Saturday, extending their lead at the top of the English premier league to two points.
The Manchester United captain believes the club needs a new striker to partner Dutchman Ruud van Nistelrooy upfront.
Chelsea and Everton have been charged by the FA after Wednesday's stormy Premier League encounter.
Doctor Eva Carneiro has left Premier League champions Chelsea in the wake of last month's public spat with manager Jose Mourinho, according to several media reports on Tuesday.
Chelsea's youthful new-look squad reminds Juergen Klopp of his Bundesliga-winning former Borussia Dortmund team, the Liverpool manager said on Friday.
Chelsea beat Sheffield United 2-0 to reach the FA Cup semi-finals for the fourth time in five seasons.
Former Chelsea and England captain John Terry has joined Championship side Aston Villa, the club's owner said on Monday.
Midfielder Cesc Fabregas must continue to sharpen the defensive side of his game to earn a place in Chelsea's starting line-up, manager Antonio Conte has said.
Chelsea opened up a six-point lead at the top of the Premier League despite being held to a 1-1 draw against top-four hopefuls Southampton in an absorbing game at Stamford Bridge on Sunday.
If, as former British Prime Minister Harold Wilson once said, a week is a long time in politics, four and a half months in football clearly represents an eternity.
Chelsea striker Diego Costa is looking for a move away from Stamford Bridge after being told by manager Antonio Conte that the 28-year-old is not part of his plans at the Premier League club, the Spain international has said.
Brighton & Hove Albion scored three times in the second half to fight back from two goals down and beat Manchester City
Nigeria midfielder John Obi Mikel has become the latest big name player to join the Chinese Super League gold rush after leaving Chelsea for Tianjin Teda.
Chelsea have signed Spanish goalkeeper Kepa Arrizabalaga for a world record 80 million-euro ($92.8 million) fee from Athletic Bilbao, the Premier League club said on Wednesday.
Manchester United have bid 35 million pounds for Chelsea playmaker Juan Mata, British media reported on Wednesday.
Chelsea chief executive Ron Gourlay said on Wednesday he was leaving Stamford Bridge after a decade in which Chelsea were crowned kings of Europe but also suffered plenty of off-field dramas too.
Images from the English Premier League matches played on Saturday.
Brazil's Willian told reporters he will be doing everything he can to send his team mate Eden Hazard home early from Russia.
Stamford Bridge erupted in celebration on Sunday as departing Chelsea captain John Terry lifted the Premier League trophy in Antonio Conte's record-breaking first season in charge, but the carnival atmosphere had a bitter-sweet edge.
Fernando Torres capitalised on a defensive blunder to score a last-minute winner and secure Chelsea a 2-1 Premier League victory over Manchester City at Stamford Bridge.