A primary Hopf surface is a compact complex surface with universal cover ℂ 2 -{(0,0)} and cyclic fundamental group generated by the transformation (u,v)↦(αu+λv m ,βv), m∈ℤ, and α,β,λ∈ℂ such that ∣α∣≥∣β∣>1 and (α-β m )λ=0. Being diffeomorphic with S 3 ×S 1 Hopf surfaces cannot admit any Kähler metric. However, it was known that for λ=0 and ∣α∣=∣β∣ they admit a locally conformally Kähler metric with parallel Lee form. We here provide the construction of a locally conformally Kähler metric with parallel Lee form for all primary Hopf surfaces of class 1 (λ=0). We also show that these metrics are obtained via a Riemannian suspension over S 1 , by deforming the canonical Sasakian structure of S 3 by a Hermitian quadratic form of ℂ 2 . We finally infer the existence of a locally conformally Kähler metric for all primary Hopf surfaces by a deformation argument due to C. LeBrun.