We confirm the speculation that the distribution of $t$-hooks among unrestricted integer partitions essentially descends to self-conjugate partitions. Namely, we prove that the number of hooks of length $t$ among the size $n$ self-conjugate partitions is asymptotically normally distributed with mean $μ_t(n) \sim \frac{\sqrt{6n}}π + \frac{3}{π^2} - \frac{t}{2}+\frac{δ_t}{4}$ and variance $σ_t^2(n) \sim \frac{(π^2 - 6) \sqrt{6n}}{π^3},$ where $δ_t:=1$ if $t$ is odd, and is 0 otherwise.