They have won the Premier League five times, the most recent of which came under Antonio Conte in 2017.
And Pochettino, who is yet to lift a trophy with Tottenham, believes the Blues are bigger rivals for Spurs than Arsenal now.
“It’s a good signal our fans want more every season and with rivalry, always you look at the teams above you,” Pochettino said.
“For us, Chelsea, Arsenal and West Ham have been our biggest rivals. But I think that has changed a bit because of our positions in the table.
“In the last few years Chelsea were always on the top and Arsenal, after 21 or 22 years, were below us again.”