Removing Windows' ugly Selection marker thing from Splitter in SpitContainer Control

I have a SplitContainer control, and the Splitter in the middle is very ugly. By setting the BackColor of the SplitContainer to (insert color here), then setting the BackColor of Panel1 and Panel2 to white, I can have my splitter looking nice. But by default, Windows puts the selection mark over the Splitter, even before it's selected.

How can I make sure that the selection mark never shows on the Splitter?