The recently proposed novel materials class called Weyl–Kondo semimetal (WKSM) is a time reversal invariant but inversion symmetry broken Kondo semimetal in which Weyl nodes are pushed to the Fermi level by the Kondo interaction. Here we explore whether CeCu_1+xAs₂ may be a new WKSM candidate. We report on its single-crystal growth, structure determination and physical properties investigation. Previously published studies on polycrystalline samples suggest that it is indeed a Kondo semimetal, which is confirmed by our investigations on single crystals. X-ray diffraction reveals that CeCu_1+xAs₂ crystallizes in a tetragonal centrosymmetric structure, although the inversion symmetry could still be broken locally due to partially occupied Cu sites. Chemical analysis results in an average occupation x = 0.11(1). The electrical resistivity increases logarithmically with decreasing temperature, and saturates below 10?K. A Kondo temperature T_K≈4K is extracted from entropy, estimated from the specific heat measurements. From Hall effect experiments, a charge carrier density of 8.8 × 1020?cm⁻³ is extracted, a value characteristic of a semimetal. The magnetization shows pronounced anisotropy, with no evidence of magnetic ordering down to 0.4?K. We thus classify CeCu_1.11As₂ as a tetragonal Kondo semimetal with anisotropic magnetic properties, with a possibly broken inversion symmetry, thus fulfilling the necessary conditions for a WKSM state.