The Tigers, without a game on Saturday due to Liverpool’s scheduled visit having to be moved to avoid a clash with the FA Cup semi-finals, could slip into the bottom three for the first time since early February.
Burnley travel to Everton as Leicester City host Swansea City and there will be plenty of anxious glances at telephones and TV screens in the East Riding this weekend as the two clubs look to steal a march on Hull.
Steve Bruce’s men are without a win in six outings, and have been beaten in the last three.
But Dawson said: “Of course we are feeling down and it is a blank weekend before we go to Crystal Palace now with the Liverpool game postponed.
“When you are losing football matches and you are in our position then you are down in the dumps.
“But we have to pick ourselves up quickly. We can’t afford to feel sorry for ourselves because there are some big games coming up against big teams.
“We have got an awful lot of games at home now and we are going to have to pick up points. Teams around us are winning as well.
“We keep going and we stick together. We live to fight another day.”
Hull are next in action at Selhurst Park on April 25.