The Kansas City Chiefs tight end recently showed his support for Swift by traveling to see two nights of her Eras Tour leg in Singapore

Travis Kelce and Taylor Swift. PHOTO: ALBERTO E. RODRIGUEZ/GETTY IMAGES; KEVIN MAZUR/GETTY IMAGES

Taylor Swift and Travis Kelce are making the most of their time off.

Following the Kansas City Chiefs tight end’s recent travels to visit the pop superstar, 34, as she played shows in Australia and Singapore in late February and early March, a source tells PEOPLE that the couple is “still very happy” and enjoying spending time together amid Swift’s break between legs of the Eras Tour.

“They are spending time in Los Angeles together,” the insider tells PEOPLE. “They’re still very happy.”

“They’re so cute together,” adds the source of the couple, who went out for a date night at the members-only West Hollywood hotspot the Bird Streets Club over the weekend.

Taylor Swift and Travis Kelce.CASEY FLANIGAN/IMAGESPACE/SIPA USA; STEVE GRANITZ/FILMMAGIC

According to the source, the NFL star, 34, has been enjoying a break following the Chiefs’ Super Bowl win in February. “Travis has been hanging out with friends and is having a good time just relaxing in L.A.,” the source shared.

Last week, the pair jetted back from Swift’s Eras Tour shows in Singapore to L.A. in time to attend an Oscars after party together. The two were among the attendees of Gucci’s annual event known as “The Party,” which immediately followed the awards ceremony and was held at talent manager Guy Oseary’s home.

According to a guest at the party, the Grammy winner and the football player spent the night “on the patio and in great moods.”

“He was protective of her and she was delightful and glowing — they seemed very happy together and loving the night,” the attendee told PEOPLE.

Travis Kelce and Taylor Swift at the AFC Championship Game at M&T Bank Stadium on January 28, 2024 in Baltimore, Maryland.ROB CARR/GETTY

Their Oscars outing came off the heels of Swift’s sold-out, six-night stint at Singapore National Stadium, where Kelce showed his support at the two final shows.

Fans spotted the couple enjoying a low-key date at a mall during the singer-songwriter’s time off in Singapore, and at the fifth night of her run of shows, she gave her boyfriend a sweet shout-out from the stage.

While playing the Midnights hit “Karma,” fan videos captured her saying, “Karma is the guy on the Chiefs coming straight home to me.”

Kelce detailed his trip on an episode of his and his brother’s podcast, New Heights with Jason and Travis Kelce. “I got to see two amazing shows of the Eras tour,” the three-time Super Bowl champion shared. “The last of the leg that Taylor has until she’s back at it here in a couple of months. But yeah outside of that, got to get some lovely Singapore food and just catch the views.”

Taylor Swift performing in the Eras Tour at State Farm Stadium in Glendale, Arizona on March 17, 2023.KEVIN WINTER/GETTY IMAGES FOR TAS RIGHTS MANAGEMENT

See All the Best Photos from Taylor Swift’s Eras Tour

Following her shows in Singapore, the “Cruel Summer” singer took to Instagram to express her gratitude in wrapping her latest leg of tour.

“We got to play 6 shows in Singapore for the most wonderful crowds — just want to say thank you from the bottom of my heart to everyone who traveled and put so much effort into being at our shows,” she in the caption of a post featuring photos from the show. “What an unforgettable way to end this leg of the tour!!”

The pop star will remain busy throughout the spring, as she approaches the April 19 release of her 11th studio album, The Tortured Poets Department.

Then, she’ll take her Eras Tour over to Europe. The next run of shows launches with four concerts at Paris La Défense Arena in France from May 9-12.

While she’ll be off for much of June, she’ll then tour across the U.K., Poland and Austria throughout the summer, before eventually returning to the U.S. for additional shows in the fall.