Rumors to that effect began circulating over the holidays, and became especially loud Tuesday night. Perry, 25, Tweeted around 1 a.m. New York time from Thailand on Wednesday an oblique reference to an Alanis Morrisette song: "So when do I start walking the streets naked singing that Alanis song?"
Morrisette's lines in "Thank You" include: "How about me just enjoying the moment for once" and "Thank you India" (where the couple vacationed recently).
For his part, Brand, 34, was quoted in Wednesday's editions of Britain's Sun tabloid as texting, "It's true. Much love."
The couple, who've been dating since the fall, have been nearly inseparable since hooking up. But that there were rumors of nuptials wasn't surprising: Brand hinted earlier this month that he foresaw having kids with the singer, famous for her over-the-top fruit-themed props.
On the domestic front, Perry has already introduced the comedian to her religious parents, and once showed off a pair of undies embroidered with the colors of his favorite soccer team, West Ham United.