  Guillera and Zudilin proved three "divergent" Ramanujan-type supercongruences
by means of the Wilf-Zeilberger algorithmic technique. In this paper, we prove
$q$-analogues of two of them via the $q$-WZ method. Additionally, we give
$q$-analogues of two related congruence of Sun, one is confirmed and the other
is conjectural.
