Don't cull objects in a certain area

In my game I need to make it so that a camera only culls an object if it is not between the camera and another object regardless of the rotation of the camera. What I essentially want is to be able to keep the near clip plane right up against an object while still being able to move the camera in what ever rotation I want. Look at the picture below. Thanks for any help.

you can’t disable culling when it takes place.

all you can do is prevent stuff from rendering by disabling them if they are within the view frustum (in front of camera and within the near clip - far clip interval)
if you are not on unity pro and have occlusion culling baked, frustum culling is the only form of culling that is going to take place and which you have to keep in mind