Kylie Jenner is likely used to being the center of attention, as she boasts more Instagram followers than anyone else in the Kardashian-Jenner family, including older sister Kim Kardashian. Lately, though,

A source tells PEOPLE that Kylie Jenner "wants to be by" her boyfriend Timothée Chalamet's "side for it all" as awards season begins and he continues celebrating the release of 'A Complete Unknown.' "Kylie is happiest,

While Jenner didn’t accompany Chalamet to the A Complete Unknown premiere in Paris, continuing to keep a more or less low profile where they can, the couple shared an intimate date night straight after. They were photographed enjoying dinner at chef Cyril Lignac’s restaurant, before heading back to the elegant Hotel Royal Monceau.