Packing skis onto a plane.

I am flying from London to Canada and as you could guess, I don't want to damage my skis...

My current bag is a very loose complimentary type thing I got when I bought my skis and I'd like to know what is the best way to pack them?

Would it be viable to stuff things like towels into my current bag to make a more compact fit? Or is that method completely out of the question and should I just get a bag similar to this?

Thanks.