Animated camera and close objects jittering

Hello everyone!
To be short, I found that objects which are close to camera are jittering if camera is animating. All objects on scene are in normal coordinate bounds so it couldn't be a floating point error, however it has a similar behavior. Weapon is skinned mesh, camera clipping near is 0.01 (increasing the value gives nothing, so it's not clipping issue). Is there any method to solve that problem?