The invention relates to a method for producing a lithium silicate glass preform having an initial composition containing at least 8% by weight of a stabilizer from the group of ZrO2, HfO2 and mixtures thereof, comprising the steps of - mixing of raw materials containing the stabilizer in powder form, the particle size of the powder being d50 = x, where 0.3 µm = x = 1.5 µm, - melting the raw materials in a container at a temperature TAU and retaining the melt in the container for a time tH, - drawing the homogenized melt off into vessels, the outflow temperature TAB of the melt exiting the container being TAU = TAB, and the filling of the vessels and the shaping of the melt therein taking place at a cooling rate A.