We propose a method for pixel coordinate correction to address subtle camera offsets in an eye-in-hand scheme caused by external factors in a machine-vision positioning guidance system. This method involves establishing a camera-offset pixel coordinate estimation model based on the pinhole camera projection model to eliminate the influence of camera offset on the initial calibration parameters. By dividing the image region into subregions and designing the camera confirmation bit, we analyze the parameters that describe the camera-offset model in each subregion. This allows for the determination of the object feature points' pixel coordinates prior to offset using the post-offset pixel coordinates as known conditions, thereby ensuring the validity of the initial calibration parameters. Experimental results demonstrate that our method can effectively correct the pixel coordinate offset errors induced by changes in the camera's fixation condition with a resolution of 1 pixel.