The Barbados pop star told MTV News: "[It was] just rumours. I never heard anything about that."
Rihanna did say that Houston was an inspiration in her career, explaining that "I Will Always Love You" is her favorite song.
"It was really inspiring," she said, "and it made me develop a passion for music, so really, she's partly responsible for me being here in this industry."
Rihanna will be making her acting debut this summer, starring in the upcoming Battleship film, and is signed on to play the villian in the next Fast and the Furious installment, shooting this summer.