Jurgen Klopp expressed his delight at Liverpool beating Arsenal 5-1 on Saturday to move nine points clear at the top of the Premier League table, but played down his side's title chances.
"I'm not the smartest person in the world but I'm really not an idiot - not always at least," Klopp said as BBC Sport quoted.
"It's not important how many points you are ahead in December - even if it's the end of December."
The Reds came from a goal down to score five (four in the first-half) as they continued their fine form in 2018. They're now nine points clear off second-placed Spurs who suffered a 3-1 loss to Wolverhampton at Wembley.
The Premier League champions Manchester City, who Liverpool play in their next game on 3 January, could close the gap to seven points by beating Southampton on Sunday.
"We came into season and if we could qualify for the Champions League it would be brilliant," Klopp said. "Do I feel that is already done? No."
The German added: "If the fans are not in a good moment it would be crazy.
"Maybe New Year's Eve will be a bit louder - maybe not too loud, my dog doesn't like it. Enjoy it but be ready again 3 January.
"If we drop three points, you [the media] will be the first to say that we're nervous. We can't play that game and we won't do it.
"At the moment it's a marathon that we're running.
"When you are running a marathon with new trainers and a new shirt, everyone around you says it's amazing but you're the one who has to run. That's the situation."
Arsenal versus Liverpool is now the highest scoring fixture in Premier League history (155 goals).
Arsenal conceded four goals in the first half of a Premier League game for the fourth time, with Liverpool responsible for two of those (Feb 2014 and today, as well as Man Utd in Feb 2001 and Chelsea in March 2014).
Liverpool are now unbeaten in 31 Premier League games at Anfield (W22 D9), their joint-longest ever unbeaten home run in the competition, having also gone 31 without defeat between December 2007 and August 2009.
Arsenal are now without a win in their last 20 away league games against fellow "big-six" opposition (D7 L13), losing 10 of their last 12 such matches (D2).
Roberto Firmino has been directly involved in 11 goals in his eight Premier League games against Arsenal for Liverpool (8 goals, 3 assists), more than he has against any other opponent in the competition.
Roberto Firmino's hat-trick is the sixth to have been scored in fixtures between Arsenal and Liverpool in the Premier League - the most hat-tricks in a single fixture in Premier League history.