A cover assembly for use with an outdoor equipment enclosure when the enclosure is opened up for access. The equipment enclosure includes a housing having an interior equipment chamber accessible via an opening in a side portion of the housing. A service entrance door is positionable between a closed position wherein the opening is covered and an open position wherein the opening is exposed. The cover assembly includes a frame positionable above a top portion of the housing. The frame is configurable between an open unfolded position and closed folded position. A cover is supportable on the frame in the unfolded position. The cover has a top and plural side portions that enclose the enclosure housing when the cover is deployed. This provides an area surrounding the enclosure housing that is sequestered from an outside environment when it is necessary to access the equipment chamber via the service entrance door.