His side eased past second place Wrexham 3-0 on Saturday, days after Boreham Wood thrashed them on their own pitch.
The Red Dragons came into the game on the back of a first-half blitz against Ebbsfleet - but those results mattered little this weekend.
“That’s the feature of football,” he told the club. “We lost 4-0 in the game before, and they go and win 4-1 against Ebbsfleet.
“But today we could have won by five or six goals, it’s incredible to think.
“It’s hard to explain. We spent a lot of time with the players on Thursday. It was a lesson learned by everyone, myself included, that if you aren’t at it in the league then you’ll lose. The manner of that defeat was totally unacceptable.
“It was a shambolic display and it hurt me. There was a focus on us to go out and put in a performance that says ‘that’s a Sutton United team’ and we certainly did that,” Doswell added.
“There was a few nervous players driving up the motorway, but traditionally we react very very well to being beaten.
“After the Wrexham game I told them to never, ever forget the Boreham Wood result.”