The collective spin-wave excitations in the antiferromagnetic state of γ-Fe0.7Mn0.3 were investigated using the inelastic neutron scattering technique. The spin excitations remain isotropic up to the high excitation energy,hω = 78 meV. The excitations gradually become broad and damped above 40 meV. The damping parameter γ reaches 110(16) meV athω = 78 meV, which is much larger than that for other metallic compounds, e.g., CaFe2As2 (24 meV), La2−2xSr1+2xMn2O7 (52 − 72 meV), and Mn90Cu10 (88 meV). In addition, the spin-wave dispersion shows a deviation from the relation (hω) 2 = c 2 q 2 +∆ 2 above 40 meV. The group velocity above this energy increases to 470(40) meVÅ, which is higher than that at the low energies, c = 226(5) meVÅ. These results could suggest that the spin-wave excitations merge with the continuum of the individual particle-hole excitations at 40 meV.