A last-gasp goal from Nick Barmby snatched a point for the Tigers at Stoke on Saturday, edging them slightly away from the relegation zone.
Leeds United, who lost at Southampton, occupy the final spot in the bottom three a point behind Hull.
"The players have shown tremendous spirit and desire to stay in this division," said Brown.
"If the relegation battle goes down to the final game of the season then that is fine by me."