January 25, 2016 11:40 AM

Khloé Kardashian may spill the beans, but Kourtney Kardashian is more tight-lipped when it comes to her sisters’ love lives.

During an appearance on Monday’s episode of The Ellen DeGeneres Show, Kourtney was careful not to give any details about her sister Kendall Jenner‘s rumored romance with Harry Styles.

“I feel like you see my family members more than I do,” Kourtney, 36, joked to host Ellen DeGeneres about the fact that Jenner and Styles took a New Year’s vacation to the Caribbean with DeGeneres and her wife Portia de Rossi, 42.

“I saw her and Harry and they are a cute couple, right?” DeGeneres, 57, prodded Kourtney about the duo, who were spotted getting cozy on a yacht during the trip.

“I don t know. You know more than I do,” Kourtney said with a smile. “I’m telling you!”

Kourtney also maintained she hadn’t met the singer yet – though she did admit he is “good looking.”

Speculation about a romance between Jenner, 20, and Styles, 21, has been swirling since the tropical getaway, and though the two have been linked in the past, they have not commented on the nature of their relationship.

Earlier this month, however, Khloé seemed to confirm her model sister is seeing Styles.

“They were hanging out together. Do I think they’re dating? Yes. I don’t know if they’re like boyfriend-girlfriend. Nowadays, I don’t know, people are weird with stuff. So I don’t know their ‘title,’ Kardashian, 31, told Entertainment Tonight, using air quotes. “But I mean, they were in St. Barts together hanging out, so to me that’s dating. I would call that dating.”

On Saturday, Styles and his stepdad Robin Twist, as well as Jenner and her momager Kris all attended a private party celebrating music agent Jeff Azoff’s birthday at the Troubadour rock club in West Hollywood, California, though Jenner and Styles arrived and left separately.

Tune in to The Ellen DeGeneres Show on Monday to catch Kourtney’s full interview (check local listings).

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