One method includes performing a first etching process to form a contact opening in a layer of insulating material that exposes a portion of a gate structure of the transistor, performing a second etching process on the exposed portion of the gate structure to thereby define a gate recess, selectively forming an oxidizable material in the gate recess, converting the oxidizable material to an oxide material, and forming a conductive contact in the contact opening that is conductively coupled to a source/drain region. A device includes an oxide material that is positioned at least partially in a recess formed in a gate structure, wherein the oxide material contacts a conductive contact and contacts a portion, but not all, of the exterior surface of the gate structure.