Supersingularity of an algebraic variety is a special phenomenon in positive characteristic, which concerns the behavior of its p-adic periods. For K3 surfaces, a long-standing conjecture claims that the supersingularity will imply the unirationality. For higher dimensional irreducible symplectic varieties, the supersingularity has been studied in previous work of Lie Fu and Zhiyuan Li. In this talk, I will introduce the generalization of O’Grady’s construction of a type of 6-dimensional irreducible symplectic varieties to algebraically closed fields in odd characteristics, and the proof of its unirationality. This is a joint work with Lie Fu and Zhiyuan Li.