Does the hood fit over a climbing and ski helmet?

Tech Specs:

Material:

Gore-Tex Paclite 

Waterproof Rating:

Guaranteed waterproof 

Breathable Rating:

Guaranteed breathable 

Core Venting:

No 

Pockets:

[External] 2 hand, 1 chest; [Internal] # and location 

Seam Taped:

Yes, fully 

Powder Skirt:

No 

Hood:

Yes 

Zip-in Compatibility:

No 

Weight:

18.3oz (520g) 

Recommended Use:

Ski touring, mountaineering, alpine climbing