Martin O'Neill believes Aston Villa's 2-0 victory over Hull City on Wednesday night has left them "in the mix" for fourth place in the Premier League.
Goals from Gabriel Agbonlahor and James Milner secured three points for the Midlands club at the KC Stadium as Villa leapfrogged Liverpool into sixth place in the table.
They are three points adrift of current fourth-placed side Tottenham, having played a game more than the north London club, but O'Neill is refusing to give up hope of securing a place in next season's Champions League.
"We are in the mix," said O'Neill. "We are going for everything and guaranteed nothing.
"We are not even guaranteed to finish eighth in the league at this minute. Everton are on a terrific second half of the season run.
"I said after the game against Everton that for us to have any chance of anything at all, we'd have to win the last five games and that still stands."
Speaking about Sunday's local derby with Birmingham City. O'Neill added "It would be great if we could get victory against Birmingham, for every reason under the sun obviously.
"The only game we can really deal with is the derby game. It won't be easy as Birmingham have had a great season."