The evening resulted in our first three points and clean sheet of the season, doing much, according to Daws, to clear the players' minds of the Bolton blues.
"I think we needed the other night's performance to put Bolton out of our heads," reasoned the central defender. "It was a disappointing opening day performance and the result was awful for us.
"We had to get back to winning ways and we did that, we can now go into the Everton game full of confidence. We wanted it for ourselves, the fans and everybody at the club - we've now got points on the board and we can look forward.
"It is Everton next and we know it is going to be a tough test," added the England squad member, who is fully aware of the challenge likely to be presented by the Everton strikeforce of James Beattie and new signing Andy Johnson.
"It is a bit of a little and large combination. Beattie is a big, strong lad who we will have be at our best against. Johnson is very lively and we can't give away too many chances with him around.
"He is a great player and that is why they paid big money for him. I've trained with him before and I know what he can do."
Michael Dawson says the team will head into the Everton game with confidence high after the win over Sheffield United on Tuesday.