The chance to complete a cup double in just over a fortnight's time looms large for the Reds, who are seeking to offset their disappointing Barclays Premier League results with more silverware.
With hopes of Champions League qualification ended by a poor return in 2012, which has seen only three wins outside of knockout competitions, the FA Cup is realistically all the team have to play for.
But Dalglish will not accept a scenario where players think they have to save themselves for the Wembley showpiece - and he does not think they will either.
"They are coming off a back of a fantastic performance and result at Wembley on Saturday but for us to think that it is finished would be wrong and we want to continue," said the Scot.
"It is not difficult for them to lift themselves. They are not complacent or arrogant; we are delighted we got the result at the weekend but we will not get carried away.
"The players have been really professional in the way they have gone about their job and I am sure they will continue to do that from now until the end of the season in every game we play.
"They come in and are determined to do their training properly and they want to win every game on the pitch.
"They enjoyed the result (against Everton) but I am sure they will dust themselves down and try to get some positive results from now until the end of the season.
"Although we haven't won as many games as we would have liked in the league we have still given ourselves fantastic opportunities to do that."
In the wake of February's Carling Cup triumph over Cardiff Liverpool lost five of their six league matches, which included defeats to relegation-threatened Wigan and Sunderland.
But Dalglish does not believe winning the club's first trophy in six years had a negative impact on the players and does not believe an FA Cup semi-final win over Everton will either.
"I don't think they had a problem the last time (after winning the Carling Cup)," he added.
"They played Arsenal and they were magnificent, although the result (a last-minute 2-1 defeat) was not what we hoped for or what we deserved.
"We try our best to win, we want to win and we are capable of winning so if we go about it in the right way and not rest on our laurels we will be okay.
"We will just plod on and as long as we believe in each other we will be okay.
"We have important games coming up and we want to win them."