I use a Logitech g302 set to 1000 hz polling rate (default - cannot go higher) and I do not experience this issue at all.
Assuming that you are using the latest versions of the drivers/applications for your mouse.
I also did a quick search and see that there are a few mentions of 1khz polling rates on the Sabre mouse causing issues in other games including GTA V etc… These were apparently resolved by Resetting the Mouse.
If this doesnt work and to help the devs, please can you include your game logs (player.log) file AND an export of the DXDIAG report of your system.