Solar models containing concentrations as low as 10 to the -11th by number of weakly interacting massive particles (WIMPs), accreted from a galactic background population, are consistent with the observed flux of high-energy solar neutrinos. The structural changes produced in the solar core have also been shown to produce changes in the oscillation frequencies of g-modes and p-modes of low angular degree and high radial order. In the paper the predictions for solar oscillations are examined over a large range of possible WIMP properties. 21 references.