In this paper we study Jordan ▫$\{g,h\}$▫-derivations of unital algebras. For algebras having nontrivial idempotents we give the sufficient and necessary conditions that every Jordan ...▫$\{g,h\}$▫-derivation is a ▫$\{g,h\}$▫-derivation. We are particularly interested in the class of algebras ▫$\mathscr{A}$▫ having the property, that every Jordan ▫$\{g,h\}$▫-derivation of ▫$\mathscr{A}$▫ is a ▫$\{g',h'\}$▫-derivation for some linear maps ▫$g'$▫ and ▫$h'$▫.
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