"This comeback means a lot to her. She wants to give fans the best show," a second source tells PEOPLE of Perry, who's currently touring Australia. "She's happy and just focused on her tour. Her daughter [Daisy Dove, 4½] is with her and they're sightseeing and having fun."
Reps for Perry and Bloom, 48, did not immediately respond to PEOPLE's request for comment.
On June 9, the second source told PEOPLE that Perry had been "deeply frustrated following the reception of her new album."
"It made her very stressed. Orlando was understanding, but it did cause some tension."
Meanwhile, a third source said that she was "disappointed in some of the tour reviews" and it consequently "put stress on their relationship."
Despite any negative press, Perry sold out three shows in Mexico and ended up adding a fourth. She's currently on the Australian leg of the tour, which is also sold out.
In February, the "Hot N Cold" singer opened up to PEOPLE about how she handled the response to her album. "You shouldn't read it when it's good. You shouldn't read it when it's bad," she said.
"My therapist said something that really changed my life. What anybody thinks about you is none of your business. It's what you think about yourself," she continued.
As for the relationship, Perry last publicly referenced Bloom during one of her shows in May while introducing her song "I'm His, He's Mine."
At the time, she jokingly accused a fan of "DM'ing my man."
"You didn't come to see me play," she said on stage. "If you keep on DM'ing my man, I'm going to have you removed. Seriously, get your own life."
Perry and Bloom have been engaged since 2019 and welcomed their daughter, Daisy Dove, in August the following year.