Can I get Alpha values in openGL that are not premultiplied?

I'm making a game that uses lots of alpha values. We have alpha values in the texture map then on top of that we use a color with varying alpha values to dynamically fade things in and out. In order to dynamically fade things in and out I need to pass glBlendFunc GLSRCALPHA & GLONE_MINUS_SRCALPHA. But since the alpha values in the texture map are premultiplied they display wrong unless I've passed glBlendFunc GL_ONE & GLONE_MINUS_SRCALPHA.
How can I disable my texture maps alpha values being premultiplied?
Thanks

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