A recent calculation determined the indirect aluminium hyperfine interactions for a number of oxygen-aluminium trapped-hole centres (Al³⁺-O^-) in ionic crystals. One of these crystals was SiO₂ where Al³⁺ is incorporated as an impurity. The theory showed that the dominant mechanism of the Al³⁺ transferred hyperfine interactions is exchanged polarisation. Since experimental data also exist for the Si⁴⁺ magnetic nuclei that are nearest neighbours to the Al³⁺-O^- centre in SiO₂, it is of interest to see if this same theory can account for the Si⁴⁺ transferred hyperfine interactions. This Letter reports on the results of calculating the Si⁴⁺ transferred hyperfine interactions for this system. The model has much the same level of success for the Si hyperfine interactions as for the Al.