After being gravitationally captured, low-mass cold dark-matter particles (mass range from 5 to ~50 × 10⁹ electron volts) are thought to drift to the center of the Sun and affect its internal structure. Solar neutrinos provide a way to probe the physical processes occurring in the Sun’s core. Solar neutrino spectroscopy, in particular, is expected to measure the neutrino fluxes produced in nuclear reactions in the Sun. Here, we show how the presence of dark-matter particles inside the Sun will produce unique neutrino flux distributions in ⁷Be-ν and ⁸B-ν, as well as ¹³N-ν, ¹⁵O-ν, and ¹⁷F-ν.