Based on the measurements of (D+ s ,D +) → f0(1370)π we determine, in a model independent way, the allowed ss̄ content in the scalar meson f0(1370). We find that, on the one hand, if this isoscalar resonance is a pure nn̄ state [nn̄ ≡ (uū + dd̄)/ √ 2 ], a very large W -annihilation term will be needed to accommodate D+ s → f0(1370)π. On the other hand, the ss̄ component of f0(1370) should be small e...