The Japanese site Nokishita confirmed today what I already reported back in April: Nikon will soon announce a new Nikkor AF-P 70-300mm f/4.5-5.6 ED VR full frame lens that will be a replacement for the current AF-S 70-300mm f/4.5-5.6G IF-ED VR version (Nikon also has a DX version of this lens that was already updated).
The new lens will have lens hood HB-82. The Japanese price will be 91,800 yen with tax (around $800). The current version is priced at $500.
Update – here are the fist pictures of the new lens: