Tripper made the claim when asked about the Madrid derby against Real Madrid.
"Even when I was playing for Tottenham, I felt - no disrespect to Arsenal - but I didn't feel like it was our main derby."
Trippier went on to say that he and many of his fellow Tottenham players felt that Chelsea were their big rivals.
"I felt it was Chelsea. I just felt like the emotion probably," the 29-year-old said.
"Don't get me wrong, Tottenham vs Arsenal is huge to the fans because it is what it is with them.
"As a player, for me and certainly for a few other players, the Chelsea game was a bigger game for them."