The 32-year-old singer appeared unfazed on Monday's episode of Today by Swift returning to Spotify the same day as her Witness album release.
"I don't know. I could only do me," she said of Swift's move to host Natalie Morales.
Perry and Swift have a longstanding feud that Perry recently said began over backup dancers. She insisted her song "Swish Swish" isn't a response to Swift's diss track "Bad Blood," which is widely believed to be about Perry.
"No, it's not about anyone in particular," the star said. "My story, which I know is true for me, is that I've had not just one person bully me, or one person hold me down, or met one troll. All I need to say to her is I love her and God bless her on her journey."
Perry seemed to confirm the song is about Swift, however, by changing the lyrics during a performance Monday evening at her Witness World Wide YouTube livestream concert, according to E! News. She removed the line "Don't you come for me."
"God Bless you on your journey, oh baby girl," the singer crooned instead, echoing her remarks on Today.
Perry had apologized to Swift in an interview with Ariana Huffington on Saturday. She explained her conflict with Swift seemed insignificant when there "are bigger fish to fry" and "real problems in the world."
"I am ready to let it go," the star said. "I forgive her and I'm sorry for anything I ever did, and I hope the same from her."
"I love her, and I want the best for her," she added. "I think she's a fantastic songwriter, and I think that, you know, if we, both her and I, can be representatives of strong women that come together despite their differences, I think the whole world is going to go like, 'Yeah, well we can do this.'"