4:14 Scream was intended as a companion album for 2008's 4:13 Dream, and features many tracks recorded during the same sessions.
However, almost five years later, Smith's bandmates have moved on and he found himself mixing an album that became "a bit of a sore point" for the current The Cure line-up.
He tells Britain's Xfm radio, "We're in a weird predicament in that I've finished singing and mixing an album that was made by a band that no longer exists. I'm not sure it happens that often.
"This band is trying to make an album with this line-up, and it's an album that I'm tempted to make, that's really different to anything else we've done. So trying to be convinced that I should release the second half of what is an effectively an album that came out in 2008, it's a bit of a sore point, really, to be honest, amongst this current line-up."
Smith explains he and his bandmates had hoped to release the 4:13 sessions as a double album, but he wasn't happy with the lyrics on some of the songs.
He explains, "I just didn't think the words were good enough."