Set your in game rust settings to these:

• 70 – X
• 70 – Y
• 40 – ADS
• 40 – 1 X Zoom
• 7 – Dead Zone Left
• 7 – Dead Zone Right
• 90 – FOV under Graphics.

After those settings are in open up the map in rust. If you have stick drift at this point with the setting at 7. This may not work for you.
Your only option is to increase the dead zone value below to 8. Its at 7 right now.