A few days back we saw a new firmware update with build number 14.4.A.0.118 certified for the Xperia Z1 Compact and Xperia Z Ultra. The same build has been recently certified for a number of Xperia Z1 variants (C6902, C6903, C6906).
However, it seems that the update has actually been released for the Xperia Z1 on Vodafone Germany and Vodafone Spain in Europe according to the Xperia Update Checker (see below). This could indicate this being a carrier-specific update. However, given that this build number has been certified for several variants of each model there is every chance it could see a global rollout.
Thanks Anthony, Deki and DetmL!