Ivančo's supermagic labeling conjecture for Cartesian products of cycles

Let $C_n$ and $C_m$ be cycles with $n,m\geq 3$. A supermagic labeling of a graph with $q$ edges is a bijection from its edge set to $\{1,2,\dots,q\}$ such that the sums of the labels on edges incident with each vertex are equal. Ivančo's conjecture. The Cartesian product $C_n\Box C_m$ has a supermagic labeling for every $n,m\geq 3$. The conjecture extends the known cases of equal cycle lengths and of products of two even cycles; its general status is not specified in the source.