Bitcoin Transaction Fees - Want to increase fees!
There's no way to increase it unless the exchange themselves set the fee. However, as you can see here : https://jochen-hoenicke.de/queue/#24h

The Mempool is getting freed so the fees are getting lower. From my experience bittrex satoshi/byte for that 0.001 is around 400-500. Right now you can get away with 200 satoshi/byte so as long Bittrex actually send the coin immediately, it will confirm in 1-2 blocks.