We will find out next week I hope. From everything I have read from people saying that their big cards around 130-140mm fit so I think it should. Some people have mentioned that the bigger cards my require you to unscrew the motherboard to fit in in under the pcie i/o clamp on the air 240 or to cut a little piece of the metal to slide it in and out without messing with the motherboard. My only relay huge concern is that the power cables fit under the window.
Link below is of a GTX 1070 MSI 8 X thats a little too big. MSI says that card is 140mm.
http://forum.corsair.com/v3/showthread.php?t=160051
08G-P4-6286 says it is Height: 5.064in - 128.631mm and why I went with this one.
So I think it will, or I hope so haha. If the power cables are in issue then these might help.
http://www.ebay.com/itm/Right-Angle-Female-8-Pin-PCI-E-Video-Power-Cables-Verion-6-/331891990553?hash=item4d464de019:g:dR4AAOSw9eVXVqBv
or
http://forums.evga.com/EVGA-Power-Link-connector-adapter-m2487079.aspx
I will definitely let you know when I get my card.