Torres scored both goals in what was a third successive victory for Roy Hodgson's team, but the Spain international knows there can be no letting up.
He said: "We weren't good enough at the start of the season. But we thought from the beginning we needed time to work with a new manager and new players.
"Now we have to show against the teams in the middle of the table, or teams who are not as good as Chelsea, we can play this way - with this intensity and quality."
Torres continued on Sky Sports: "We have to keep winning. We have won three games in seven days but we have to forget that now and keep getting points."
On a personal level he added: "It's been difficult for me with injuries but I am training every day and every day feeling better and improving.
"I don't know if I can play my best soon - but I will as soon as possible. I know the expectation I have but I can handle that."
Hodgson added: "It was a very good first half performance. I thought Chelsea played well in the second half but we stayed firm and thanks to Pepe (Jose) Reina and the crossbar we kept our clean sheet and had chances ourselves.
"I'm very happy with the result and the way the team responded to losing two of our back four (Glen Johnson and Sotirios Kyrgiakos) just before the game."
On his team's improved form, Hodgson added: "I think the intensity's been there in a lot of games but people notice results.
"There's not been a great change in our play but possibly we are getting stronger and more confident.this is the result of working day after day, month after month."
On Torres' fitness Hodgson explained: "In the second half he was tired but still running, getting into positions and causing problems for Chelsea's defenders.
"He is a vital player for us and would be any club. You can't have success if you don't have front players who do a good job for you.
"Hopefully at the end of the season he can say 'even though I didn't start so well I've had a good season' and can prove it with the goals he scored.
"He wants the club to do well and can see we're moving in the right direction. He couldn't say much when club was in the throes of being sold but like myself he sees a bright future with new owners."
On criticism levelled at him, Hodgson explained: "I have no fears about my ability or dents in confidence during my time here."
Hodgson added: "You have to put up with it and keep working with the team and let them answer for you. We're not a bad team and we're trying to get better through working."