Hello jjan, and welcome to the friendly Camera Labs forum!
To enjoy your stay here please have a look at the
house-rules!
----
Nice camera that you own! And a 70-200/2.8 is surely the best complement for sports!
The Nikon 80-200mm is a little dated but still good. In your case I'd try the Sigma. But make sure you get a good copy and buy it somewhere without a prohibitive restocking fee.
_________________
Thomas (beware: Nikon-fanboy and moderator!)
My Lens Reviews,
My Pictures,
My Photography BlogD800+assorted lenses