Jurgen Klopp has no doubt Liverpool fans would prefer winning the Premier League to the Champions League ahead of their European tie with Bayern Munich.
The Reds, who were last crowned English top-flight champions in 1990, are second in their domestic league on goal difference behind Manchester City, who have played one game more.
A trip to fierce rivals Manchester United awaits on Sunday but the Merseyside outfit's immediate focus is on Tuesday's Champions League last-16 first leg against Bayern at Anfield.
"The best thing of all the things we did so far since we are together is we are a real competitor again. That of course is not enough but it is for sure a very important step.
"For people to think we can beat Bayern is a big thing, but in the end we have to prove that. The story so far is a nice one, but not finished yet."
Tuesday's game against Klopp's old rivals Bayern – the Bundesliga champions for the last six years, who are currently second behind Dortmund – kicks off a huge few weeks for Liverpool.
Sunday's trip to Old Trafford is followed by a midweek home game with Watford before an away derby against Everton on Sunday March 3.
"Game by game – we cannot think about it in a different way," Klopp said.
"We had only tough months this season. It's always tough, we have to be ready for that and hopefully we are. And we have to be focused 100 per cent on the game tomorrow night, otherwise we don't have a chance."
Liverpool go into the first leg with key man Virgil Van Dijk suspended.
With Dejan Lovren (hamstring) a doubt and Joe Gomez (broken leg) out, midfielder Fabinho could join Joel Matip in central defence.
Klopp said: "Dejan, we have yet to see. (Winger Xherdan) Shaqiri (who has had an abdominal injury) trained yesterday and looked very good.
"Fabinho – if (he plays in defence)... In the Champions League, against Bayern Munich, it's not an easy job.
"But because we thought it makes sense that we don't leave our last row alone defending against Bayern, it depends all on how we defend in general, so that's it.
"There will be a lot of moments where we have to defend and we've worked on that. We tried to work on that because we respect the quality of Bayern Munich a lot – speed, technique, experience, it's all there what you need to be successful."
Lovren did not take part in the open section of the training session that followed the press conference, and forward Roberto Firmino was also not involved, due to a virus.