Embodiments of the invention relate to a process for fabricating a silicon-on-insulator structure comprising the following steps: providing a donor substrate and a support substrate, only one of the substrates being covered with an oxide layer; forming, in the donor substrate, a weak zone; plasma activating the oxide layer; bonding the donor substrate to the support substrate in a partial vacuum; implementing a bond-strengthening anneal at a temperature of 350° C. or less causing the donor substrate to cleave along the weak zone; and carrying out a heat treatment at a temperature above 900° C. A transition from the temperature of the bond-strengthening anneal to the temperature of the heat treatment may be achieved at a ramp rate above 10° C./s.