NME mentions an interview that GNR guitarist Richard Fortus gave in which he gave a progress report on the record. The news story about the interview appears on VVN Music, and it contains no quotes from Fortus and simply states that "maybe" the album would arrive in 2014. That's almost nothing to go on, so you probably shouldn't plan next year's calendar around the record's arrival. As Axl mentioned last year, GNR are always working on new material. The real question is whether the vocalist decides it's ready to reach the public. And that's not something that Fortus -- or, really, anyone -- knows at this point.
Update: In a separate interview, guitarist Bumblefoot addressed the issue of new GNR music. Speaking with Rolling Stone, he said, "There's a lot of stuff, it's just a question of all of us organizing." It appears that once the band get off the road, then the focus will return to songwriting. "We just have little things on the back burner," he said, "just waiting for the right time for us to organize and make something new out of it. Hopefully we can make more music -- that's what it's about." Notably, he put no timetable on a Chinese follow-up.
Photo courtesy Interscope.