Photo: ExclusiveAccess/Shutterstock

Mandatory Credit: Photo by ExclusiveAccess/Shutterstock (13797117a) Avril Lavigne and Tyga Y/Project show, Front Row, Autumn Winter 2023, Paris Fashion Week, France - 07 Mar 2023

Avril LavigneandTygaare enjoying each other’s company.

“They’re very into each other,” a source tells PEOPLE about the “Girlfriend” singer, 38, and “Rack City” rapper, 33, who have been romantically linked since they werespotted having dinnerat Nobu in Los Angeles last month. They were later seensharing a kissduring Paris Fashion Week.

They don’t plan on rushing into a relationship, however, says the insider.

“They’re still not exclusive and just getting to know each other. They’re taking things very slowly to be on the safe side and really get to know each other before diving into something serious,” the source adds.

“But they are spending a lot of time together,” they add, noting that Tyga will be focused on his career soon. “He’s about to get locked in working on new music.”

Tyga and Avril Lavigne.Arnold Jerocki/Getty

PARIS, FRANCE - MARCH 06: Tyga and Avril Lavigne attend the Mugler x Hunter Schafer party as part of Paris Fashion Week at Pavillon des Invalides on March 06, 2023 in Paris, France. (Photo by Arnold Jerocki/Getty Images)

Despite taking things slow, Tyga has gone all out andbought an $80,000 necklacefor Lavigne.

The custom-made jewelry fromMavani & Co Jewelryfeatures 50 carats of white and black diamonds, as well as pink sapphires, founderEric Mavaniconfirmed on March 19.

In an image of the necklace shared on Instagram, the piece can be seen with several pendants on it, including two of the letter “A” written over a pink heart, as well as two skulls and crossbones accessorized with pink ribbons.Lavigne’s first name also takes center stageat the front of the necklace.

RELATED VIDEO: Avril Lavigne Receives A Star on the Hollywood Walk of Fame

Lavigne’s quality time with Tyga comes after her breakup from Mod Sun.

“Avril and Mod Sun have been on and off for the past two months, but areno longer together as a couple,” an insider told PEOPLE in February.

Amid news of her romance with Tyga, Lavigne’s ex-fiancéshared a reflective messageon Twitter about the people in his life.

“I’m so grateful to have real friends who will sit on the phone with me for 2 hours. If you got those people in your life, do not let them go,” he wrote the same day Tyga and Lavigne were seen kissing.

Never miss a story — sign up forPEOPLE’s free daily newsletterto stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.

A week before that, the musician shared similar thoughts whenspeaking out about the split for the first time— which happened less than a year afterhe and Lavigne got engaged.

source: people.com