At least for now they are still keeping hope even though there are still some points that they have to follow because Arsenal also currently has a strong chance to be there.
actually I still feel that they will probably only be in the Europa League this season compared to the Champions League but even then the chance is still there because the League is still going on and their difference with Arsenal is not that much
Arsenal is one of the favorite teams to qualify for the champions league next season after they have been absent for a long time, especially now that they are in the top 4 leaving Tottenham Hotspur as their closest rival with a difference of 3 points + 1 game postponed, Arsenal chance to qualify for the league champions is indeed very big but that doesn't mean tottenham have lost their hope now, because in my opinion arsenal have a tough match in their last 10 matches due to facing several other strong teams, and of course there is a possibility that arsenal will lose points in that match, that's what why should Tottenham have to improve their performance and focus more on them to win in the remaining matches while expecting Arsenal to lose in the remaining matches.