We use unpolarized and polarized neutron scattering to study the temperature and polarization dependence of low-energy magnetic fluctuations in nearly optimally doped NaFe 0.9785 Co 0.0215 As, with coexisting superconductivity (T c ≈ 19 K) and weak antiferromagnetic order (T N ≈ 30 K, ordered moment ≈0.02 μ B /Fe). A single spin resonance mode with intensity tracking the superconducting order parameter is observed, although energy of the mode only softens slightly upon approaching T c . Polarized neutron scattering reveals that the single resonance is mostly isotropic in spin space, similar to overdoped NaFe 0.935 Co 0.045 As but different from optimal electron-, hole-, and isovalently doped BaFe 2 As 2 compounds, all featuring an additional prominent anisotropic component. Spin anisotropy in NaFe 0.9785 Co 0.0215 As is instead present at energies below the resonance, which becomes partially gapped below T c , similar to the situation in optimally doped YBa 2 Cu 3 O 6.9 . Our results indicate that anisotropic spin fluctuations in NaFe 1−x Co x As appear in the form of a resonance in the underdoped regime, become partially gapped below T c near optimal doping, and disappear in overdoped compounds.