In this paper, the authors derived some new sufficient conditions for q-close-to-convexity with respect to certain functions involving three different normalizations of q-Bessel–Struve functions. These new inequalities, under which the three normalizations of q-Bessel–Struve functions are q-close-to-convex associated with certain functions, hold for v≥−32 and for all q∈0,1. The work is new and has great importance because it shows the pivotal role between the q-special functions and geometric function theory.