A process for obtaining an insulating glazing including first and second glass sheets that are held parallelly spaced apart with a transparent glass spacer adhesively bonded to the periphery of the glass sheets to make a gas-filled interlayer space, includes providing the spacer that is substantially parallelepipedal and including two rough faces opposite one another, and two smooth faces opposite one another, assembling the spacer between the glass sheets so that each rough face of the spacer is positioned close to an edge, and against an inner face of each glass sheet, the interstitial width between the rough faces of the spacer and the inner faces of the glass sheets being less than 0.01 mm, depositing, at the external joint lines between the rough faces and the inner faces, a transparent adhesive, the adhesive moving by capillary action to cover the surface of the rough faces, then curing the adhesive.