Spurs have been talked up as Premier League title contenders for much of the season, but following back-to-back defeats, are now starting to look over their shoulders.
Tottenham next face Arsenal on Saturday after following up the Burnley loss with another at Chelsea which did not feature a shot on target.
Asked if he was concerned about Tottenham's top-four place, with Arsenal four points behind in fourth and Manchester United a point further back, Pochettino said: "Why careful? I am not afraid. I have freedom in my mind. I have the same feeling as before.
"If people are scared now about the top four, that is football. After two defeats, maybe we're not there and not content, but we need to keep going and try to be ready for the next game. But it's not a drama.
"I don't care about the pressure to play against Arsenal, Chelsea or Burnley. It's the same feeling for me. We need to be ready to compete and give our best. If we win, I'll be happy. If we don't win, I'll be as unhappy as I am now."