My icon is changing

Winter is coming. The Mets will play again in the spring, and I’ll be happy.

In the meantime, my Twitter icon is changing from the Mets logo to the dogcow. That will be showing up in more places over the coming weeks, Murphy-willing.

Further info: The dogcow page on Wikipedia.

Question: Is it not possible to set the background of a Twitter image as transparent? It’s really jarring when they’re displayed on a non-white background.