The woman Pusha T claims is Drake's baby mama proudly displayed her pregnancy journey on Instagram for months ... ending with a pic of baby Adonis himself.

We've learned the "Sophie" Pusha T mentions in his new Drake diss track, "The Story of Adidon," is Sophie Brussaux, a French porn star. She's the same woman who was photographed with Drake in Amsterdam in January, 2017 ... just days after the alleged conception.

Sophie certainly didn't hide her pregnancy -- showing off her baby bump and even a cake from her baby shower with the name Adonis emblazoned on it -- the same name Pusha T uses in his track.