We prove, using a technique developed for GL(n) in Howe and Moy [H], a bijection between generalized Hecke algebras of G=SL(2,F) over a p-adic field and those of its n-fold metaplectic cover. This result implies that there is a canonical correspondence between irreducible admissible representations of G and genuine irreducible admissible representations of its metaplectic cover of "sufficiently large level" (depending on n,p).