We use a tetrahedral glass fragment which is coated with a thin film of gold (T-tip) to form a local tip source by illuminating the tip from within its transparent glass body. We demonstrate the potential of this apertureless tip source for tip-enhanced Raman scattering (TERS) as an alternative to the standard scheme with an external illumination. We found that T-tips with different optical properties result from the process of tip fabrication. For some tips, the Raman signal persists for a small number of molecules picked up by the retraction of the tip from a tunnel contact. In these cases, the tip itself gives rise to the TERS signal without a gold substrate close to the tip. Other tips only exhibit a TERS signal when there is a contact to a gold substrate. Tips covered by Raman active nonresonant molecules serve as a new kind of near-field Raman probe for local properties of a sample. As the Raman spectrum of the coated tip is sensitive to the local light intensity, it may be used to monitor the field-enhancement properties of metal films and metal nanostructures. A near-field Raman probe avoids problems due to bleaching of a fluorescent near-field probe and, furthermore, such a near-field Raman probe may be highly selective for specific surface properties.