Dawson joined the Tigers in August after spending the majority of his senior career chasing European football with Tottenham.
The England defender expected Steve Bruce???s squad to offer a season of mid-table security, but instead Hull are sitting just a point above the bottom three after 25 games.
“It’s all been a new challenge for me,” Dawson told the club’s official website.
“It has been a different experience being down near the bottom of the division, but I’m here to fight for the team.
“When I came here, I believed the squad that we had would be fighting in the middle of the table rather than against relegation, but as long as we stick together and fight for one another I believe this squad is good enough to climb this table.
“It’s no good talking about it though. We have to physically do it and get enough points on the board to get us to safety.”
Saturday’s home clash with fellow strugglers QPR represents a big chance to secure back-to-back wins in the league for the first time this season, and Dawson realises the importance of the tie.
“We’re very much looking forward to it and hopefully we can put together back-to-back Premier League wins for the first time this season,” he said.
“It’s a big game. There are lots of teams in and around us in the table and it’s a very tight division.
“It’s all about winning our home games. Earlier in the season that is something we weren’t really doing, certainly against the teams in and around us, and that makes this Saturday a big game.
“At this moment in time, it’s all about winning. How that happens doesn’t matter, it’s all about winning.”