This paper continues the ongoing effort to study the compressed zero-divisor graph over non-commutative rings. The purpose of our paper is to study the diameter of the compressed zero-divisor graph of Ore extensions and give a complete characterization of the possible diameters of Γ E R[x; α, δ] , where the base ring R is reversible and also have the (α, δ)-compatible property. Also, we give a complete characterization of the diameter of Γ E R[[x; α]] , where R is a reversible, α-compatible and right Noetherian ring. By some examples, we show that all of the assumptions " reversiblity " , " (α, δ)-compatiblity " and " Noetherian " in our main results are crucial.