Let Θ be an inner function on the upper half-plane, and let KΘ = H₂⊖ΘH² be the corresponding model subspace. A nonnegative measurable function ω is said to be strongly admissible for KΘ if there exists a nonzero function f ∈ K_Θ with f ≍ ω. Certain conditions sufficient for strong admissibility are given in the case where Θ is meromorphic.