The R.E.M. song that begins with “I can't say that I love Jesus, that would be a hollow claim” is “New Test Leper.”
The song appears on R.E.M.'s ninth studio album, New Adventures in Hi-Fi, released in 1996. Michael Stipe sings the opening verse, which presents a skeptical, uncomfortable exchange involving religion, judgment, and a studio audience. The title's “new test” echoes the New Testament while also suggesting an examination or trial.
“New Test Leper” was written by all four members of R.E.M.: Stipe, Peter Buck, Mike Mills, and Bill Berry. It was recorded during the band's 1995 Monster tour, with much of the album capturing the atmosphere of live-performance settings. The track is often remembered for its contrast between Stipe's conversational vocal delivery and the band's expansive, textured arrangement.
A common mix-up is confusing it with “Losing My Religion,” R.E.M.'s earlier 1991 hit, which also deals with faith and doubt. “New Test Leper” is a separate song and a deeper cut from the later album.