Virgil van Dijk declined to be involved in discussions about titles even if Liverpool had defeated Burnley on Boxing Day to take back the top spot in the Premier League.
Darwin Nunez and Diogo Jota’s goals gave the Reds a commanding performance at Turf Moor, and Vincent Kompany’s team was unable to respond.
Van Dijk was happy with his team’s performance as they recovered from their 1-1 tie with Arsenal a few days prior under Jurgen Klopp’s leadership.
He said: “It was very important to get three points here. It was a very intense night. I think we did very well.
“There was a bit of chaos after the goal that was disallowed. But very pleased with the performance.
“I don’t think there was a lot of luck. They [Burnley] played with confidence so we had to be good, and we were good.
“It’s December so we won’t get too far ahead. But I’m very pleased as it’s the last game on the year.
“We can spend some time with family and then we’ll focus on Newcastle. But let’s see where we are in May.”
The Liverpool captain’s sentiments were echoed by head coach Klopp, who also commended his players’ efforts throughout the holiday season.
He said: “We’re creating a lot of chances. It’s our fourth game in 10 days. We just have to get through it.
“We have five days between now and the next game which means we should maybe go on holiday.
“What is really the Liverpool way? It looks like we throw hurdles in front of us and then eventually find a way of coming over it.
“We played an incredible game and it was only 1-0. They could have scored an equaliser.
“Then with the most difficult situation of the game, Diogo Jota scores an incredible goal.
“Watara Endo could have been Player of the Match. Without him the game might have been very strange.”
On New Year’s Day, Liverpool will play host to Newcastle in an attempt to stay competitive with Arsenal for the championship.