  A knot K is called Gordian adjacent to a knot L if there exists an unknotting
sequence for L containing K. We provide a sufficient condition for Gordian
adjacency of torus knots via the study of knots in the thickened torus. We also
completely describe Gordian adjacency for torus knots of index 2 and 3 using
Levine-Tristram signatures as obstructions to Gordian adjacency. Finally,
Gordian adjacency for torus knots is compared to the notion of adjacency for
plane curve singularities.
