Virgil van Dijk says it would be a ‘dream’ for Liverpool to score four historic and ‘almost impossible goals.
Liverpool won the Carabao Cup in February and is still struggling to win the FA Cup, Premier League, and Champions League.
Jurgen Klopp’s side clinched the title for rivals Manchester City by reaching the FA Cup final on Saturday.
“Nobody did fourth and there’s a reason for that because it’s almost impossible to do,” said Van Dijk.
Liverpool is a point behind City League leaders with seven games to go.
They host Manchester United on Tuesday and face a tough game at the end of the season, including games against Merseyside rivals Everton and Tottenham, who are in the hunt for the Champions League.
Liverpool also faces Villarreal in the Champions League semifinals, while Pep Guardiola’s City faces Real Madrid in the next game.
“All these four or three times talks come from the outside and could put even more pressure on us,” said Van Dijk.
“Winning every competition you enter is a dream come true but we’ll see what that brings.
Anything can happen, even with other teams.”
Van Dijk’s Netherlands international returned to the field in August after a ten-month absence with a serious knee injury.
He stressed that Liverpool would not take the physical condition of any of their players as a benchmark.
“I wasn’t a great player these days, I was quite behind – that’s why I’m enjoying my career even more,” said the 30-year-old goalkeeper.
“All I want is to keep going, keep fit, win games and see what he brings and also prepare for the World Cup.”
Liverpool Man Utd won 5-0 at Old Trafford when the two sides met last October.
Ralf Rangnick, United’s caretaker manager, worked with several key Liverpool players early in his career.
Midfielder Naby Keita says the Germans treated him “like a son” when he previously played for Red Bull Salzburg and RB Leipzig.
“It’s no coincidence that they are as good as they are,” said Rangnick.
“I or our players had six or seven of those players when we signed them for our clubs when nobody knew about it.
“Again, it’s no coincidence that it’s probably the club with the most players from our former clubs because their approach, their style of football, their style of play are quite similar.”