Spurs sit 14 points clear of their rivals ahead of Sunday's north London derby when victory would ensure they end a season above the Gunners for the first time since 1995.
It has been a painful wait for Tottenham's fans, who have watched their team miss numerous opportunities to finish above Arsenal, not least when they needed only to beat already-relegated Newcastle on the final day of the last season.
Pochettino, however, maintains his sole focus remains on catching Chelsea, who remain four points ahead of Spurs with five games left, and face a tricky trip to Everton on Saturday.
"I understand but my feeling is now when so close, only four points but it's massive with only five games to play, I will be very disappointed if we don't win the title," Pochettino said.
"I will start to think of the good things that have happened this season and be realistic to analyse the season but I really don't think in which position is Arsenal."
Pochettino added: "My challenge and my aim is not to be above Arsenal. My challenge and my aim is to be above 19 teams and be on the top. That is my challenge, my aim, my dream.
"I don't care what happens with Arsenal, with all my respect. What I care is what happens with us. That's our big, big challenge at Tottenham."
For Tottenham's fans, guaranteeing superiority over their fiercest rivals by beating them on their home turf would be particularly sweet, especially given this is likely to be the last time this fixture takes place at White Hart Lane.
Read the full article on eurosport.co.uk: Mauricio Pochettino not interested in Arsenal's position, only Tottenham's