Villa have looked capable of upsetting the Premier League's "big four" and clinching a place in next season's Champions League.
Their 2-2 draw with Arsenal on Boxing Day proved Martin O'Neill's men can live with the strongest teams in the country, and Davies is confident Villa can maintain their excellent form.
The 23-year-old continued: "We are in our current position because we deserve it. It was a massive result for us against Arsenal and a huge boost for us."
Hull manager Phil Brown's decision to stage his half-time team talk in front of the travelling fans during the 5-1 defeat at City left supporters worrying it could damage players' morale.
But goalkeeper Boaz Myhill insisted: "Players will react differently to different situations but it has given us renewed impetus to put on a good performance in front of our fans at home."
