Manchester City captain could miss Sunday's clash after suffering injury during training session on Saturday
Kompany landed heavily after going up for a header and was reportedly carried off the pitch by his team-mates.
Should he miss tomorrow's crucial clash it will be a vital blow to Manuel Pellegrini's side's title chances.
The eagerly-anticipated meeting of the title rivals at Anfield pits the competition's top two goalscoring teams against each other.
Liverpool have struck 90 goals in their 33 games with third-placed City having notched 84 from their 31.
Some of City's notable victories have seen them score seven against Norwich, six against Arsenal and 11 across two games against Tottenham.
Last month they put five past Fulham and beat neighbours Manchester United 3-0 before they hit another four when Southampton visited the Etihad Stadium.
Liverpool have hit form since the turn of the year and their current run of nine successive wins has yielded 32 goals.
Asked if he was concerned about the Reds' attacking threat, Pellegrini said: "It's exactly the concern Liverpool will have against our team, if they want to be an attacking team - and they are an attacking team.
"But I think we've done very well (defensively), Southampton didn't have many chances to score.
"Of course if you defend with 10 players near your box, you are not going to have space for the other team.
"But the most important thing about these two teams is they play attractive, offensive football. Both teams are very close for this."
Pellegrini feels his side have not received enough credit for their defensive work in recent months.
City have had problems at the back this season but they have conceded only twice in their last seven league matches.
Pellegrini said: "I never divide the team in the way I think.