The Merseysiders' title challenge looked all-but over after defeat to Middlesbrough on February 28.
But a 4-0 drubbing of Real Madrid in Europe has since been followed by an astonishing 4-1 win against Manchester United at Old Trafford and 5-0 thrashing of Aston Villa to close the gap on the leaders to just a single point.
And with familiar foes Chelsea awaiting in the Champions League quarter-finals, the Spaniard is confident his side can go all the way in both competitions and seal their place in the club's already proud history.
"This team is on the way to becoming more famous than The Beatles," he said as reported by The Sun.
"There are many weeks of emotion awaiting us in the Champions League and Premier League and this season could end up being historic for us.
"We are developing a sensational game and now all the pressure is on United. I believe they could fail and we are ready for that moment.
"Our objective is to win all our league games between now and the end of the season. It is a difficult task but not impossible now our morale's improved so much. That triumph at Old Trafford really increased our desire to be the champions.
"We didn't desire Chelsea and would have preferred not to have drawn an English rival. My dream was to play Bayern Munich or Barcelona. But I still insist we are the favourites."
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