"We're doing an album," said in an interview with Vulture. "It's going to be all Cole Porter songs. He was the best writer of all of them in the Great American Songbook. Highly intelligent. We're going to have a lot of fun doing that."
"Gaga is a gorgeous singer, and when she sings a great ballad, I get goosebumps," he lauded. "She helped me and I helped her by doing Cheek to Cheek ... We get along great. She's got a lot of talent."
The 89-year-old singer and the 29-year-old pop star released their first record, Cheek to Cheek, in September 2014.
Cheek to Cheek debuted at No. 1 on the Billboard 200, and won Best Traditional Pop Vocal Album at the 2015 Grammy Awards. The record includes Irving Berlin, Cole Porter and Duke Ellington covers, and the duo promoted the album on their 36-show Cheek to Cheek tour.
Bennett released The Silver Lining: The Songs of Jerome Kern in September, while Lady Gaga debuted Artpop in November 2013. The pop star is working on her fifth solo album, and recently made her major TV debut on American Horror Story: Hotel.