Liverpool manager Jurgen Klopp says his side still have "really hard work" in front of them despite continuing their phenomenal goalscoring away from home by hitting five at Brighton.
The Reds moved into the top four of the Premier League for the first time since August after making it 15 goals in their past four away games in all competitions with a comfortable victory at the Amex Stadium.
"It looks like we are flying," said Klopp after Liverpool's fifth win in six league games.
"Unfortunately it's not like that, we have to work really hard.
"We need results. In our calmer moments we are a really good team, but we need to carry on.
"I'm much more interested in the next game. We need the points - we want to stay as close as possible to the teams in front of us."
'Liverpool gave us a harsh lesson'
Emre Can powered a header beyond Mat Ryan from Philippe Coutinho's corner after half an hour and the Reds doubled their lead 79 seconds later following a sumptuous move.
Mohamed Salah drove at the Brighton defence and picked out Coutinho, who slid a left-footed cross to the back post for Roberto Firmino to finish efficiently.
Brazil striker Firmino made it 3-0 after Salah's brilliant assist before Glenn Murray, who had already missed two great chances, beat Simon Mignolet with a penalty following Jordan Henderson's foul on Shane Duffy.
Brighton had chances to make it more nervy for Liverpool with a second goal, but Coutinho eased any concerns about a repeat of Sevilla's comeback from 3-0 down in the Champions League by scoring with a cute low free-kick then enticing Brighton defender Lewis Dunk to head into his own net.
"The biggest disappointment is that you have to stay in the game," said Seagulls boss Chris Hughton.
"They were always going to have more possession, but after 30 minutes we had had the best chance - and then within two minutes we were 2-0 down.
"You have got to have a level of performance to have a chance. I thought they were very good and gave us a harsh lesson, but we were also below the levels we have set this season."
Klopp's side move above Arsenal, who lost 3-1 at home to Manchester United, while Brighton drop to 11th in the table.