That is according to Statistics Canada. One of Statistics Canada's researchers, Étienne Lemyre, says that studying in English leads to working in English, which leads to speaking English in public, which leads to speaking English at home. When you are born francophone and use English fluently at home, it is English that you pass on to your children. Children therefore end up with English as their mother tongue, and that's when it happens. There are 130,000 assimilated francophones in Quebec—not in provinces outside Quebec, but within Quebec itself.
The funding of English-language institutions, particularly the English-language university network in Quebec, makes these institutions extremely attractive to francophones and allophones who want to rise to the top of Montreal's anglonormative world. In fact, you must be perfectly bilingual to get a good job in Montreal, which structures the anglonormativity of society. To illustrate how investments in English-language institutions have an anglicizing effect, francophones outside the Montreal area do not want to live in Montreal because they are convinced that they will not find work there. Clearly, any emphasis on post-secondary institutions in the continuum has an anglicizing effect in Montreal.