This paper shows how tensor-based distributional semantics can be incorporated into Minimalist Grammars (MGs), leveraging the tensor-based MG representations of beim Graben and Gerth (2012). We embed the Minimalist feature calculus with a tensor algebra and give a joint tensor-based representation where compositional semantics is guided by the minimalist syntax. By bridging syntactic and semantic operation in tensor spaces, we aim to contribute to the broader enterprise of neurosymbolic approaches to linguistic cognition.