When an invading cancer cell attempts to pass through a hole in the extracellular matrix (ECM) which is too small for its nucleus, this generates physical tension. This tension is sensed by a nucleus–centrosome connection that activates trafficking of endosomal vesicles containing the matrix metalloprotease, MT1-MMP1 to the site of constraint. Recent evidence shows how focussed ECM degradation relieves the constraint and allows cancer cells to continue invading.