  Let $K, K'$ be ribbon knottings of $n$-spheres with $1$-handles in $S^{n+2}$,
$n\geq 2$. We show that if the knot quandles of these knots are isomorphic,
then the ribbon knottings are stably equivalent, in the sense of Nakanishi and
Nakagawa, after taking a finite number of connected sums with trivially
embedded copies of $S^{n-1}\times S^{1}$.
