The endoplasmic reticulum (ER) is a dynamic organelle of nucleated cells that produces proteins, lipids and oligosaccharides. The volume and the activities of the ER are adapted to cellular needs. They are increased upon induction of unfolded protein responses (UPR) and are reduced upon activation of ER-phagy programs. A specialized domain of the ER, the nuclear envelope (NE), protects the cell genome with two juxtaposed lipid bilayers, the inner and outer nuclear membranes (INM and ONM). SUN proteins in the INM form disulfide-bonded Linker of Nucleoskeleton and Cytoskeleton (LINC) complexes with NESPRIN proteins in the ONM. These complexes set and maintain the width of the periplasmic space (PS), a continuum of the ER lumen, below the 50 nm and in yeast prevent transmission of ER volume variations to the PS. Here, we report that expansion of the mammalian ER upon homeostatic perturbations is transmitted to the NE, where the ONM forms large bulges. The process is reverted on recovery of ER homeostasis, by asymmetric vesiculation and autophagic clearance of ONM portions. Remodeling of the mammalian NE requires TMX4-driven reduction of the intermolecular disulfide bond stabilizing LINC complexes, the LC3 lipidation machinery, and the autophagy receptor SEC62, identified here as the first mammalian nucleo-phagy receptor.