Kiln Cooling

My electric  kiln is set in a sort of outdoor shed type building.  The
building is very small so I leave the doors open while firing in order
to vent.  I have only had my kiln since May so I haven't had to worry
about the weather.  My question is:  Now the temperature is getting
cold do I need to worry that my kiln will cool too quickly or will the
bricks insulate it well enough?