Depending on the lighting and angles, completely removing it might be a problem.
Think of it as a fog or a haze and use techniques to minimize that: So reducing contrast, crushing the black-levels, etc might work. There is a “de-haze” function in Photoshop that might also reduce it.
Or maybe you could try to think of it as noise and use one of the noise reduction tools to reduce it.
Be sure to correct for the difference in natural lighting in winter months,. Sunlight tends to appear more blue. Shadows can look very cold.
Jim