Based on 2 minutes of Transiting Exoplanet Survey Satellite data, we analyzed intrinsic oscillations of the primary component and identified seven confident independent delta Scuti frequencies (f(1), f(2), f(3), f(4), f(7), f(11), and f (12)). Both single-star evolutionary models and mass-accreting models are computed to reproduce the delta Scuti frequencies and the fitting results match well with each other. The stellar parameters of the primary star yielded by asteroseismology are M = 1.92(-0.02)(+0.10) M (circle dot), Z = 0.011(-0.001)(+0.006) R = 2.068(-0.007)(+0.050) R-circle dot, log g 4.090(-0.002)(+0.010), T-eff = 8346(-320)(+244) K, and L = 18.65(-2.82)(+3.31) L-circle dot, which match well with the dynamic ones using the binary model. Furthermore, our asteroseismic results show that OO Dra is another Algol system that has just undergone the rapid mass-transfer stage. The fitting results of single-star evolutionary models indicate that the pulsator is a helium-poor star with an age of 8.22(-1.33)(+0.12) Myr, and the further mass-accreting models show that the primary star looks like an almost unevolved star formed by an extremely helium-poor mass accretion in the Case A evolutionary scenario.