The dominant classification of minorities—which distinguishes between “national minorities”, “aboriginal peoples” and “ethnic minorities”—does not capture the specificity and complexity of the French-speaking communities who do not enjoy territorial autonomy in Canada (basically French-speakers outside Quebec). The author suggests three tentative answers to what could be called “Kymlicka’s blind spot”. These include replacing rigid categories by a continuum, introducing some form of continuum in the current categories or adding a category to the existing typology. Any exploration of alternative conceptual schemes requires notably a clarification of the claims of autonomy made—or which could be made—by these linguistic minorities, including claims of territorial or non-territorial political autonomy.