A molten glass delivery system is modified to match it with the overflow downdraw process. A substantial number of defects not removed by the finer are diverted to the unusable inlet and distal edges of the sheet. In one embodiment, the stirring device is relocated from the outlet to the inlet of the finer. In another embodiment, the basic shape of the finer is preferably changed from a cylindrical shape to a Double Apex (or Gull Wing) shaped cross-section, whereby the apexes of the finer contain the glass that will form the unusable inlet end of the glass sheet. The finer vent or vents are preferably located at these apexes such that any homogeneity defects caused by the vents are diverted to the unusable inlet end of the glass sheet. The finer cross-section has a high aspect ratio for increased fining efficiency as compared to a cylindrical finer.