Conditional antecedents often contain elements that require the truth of the antecedent proposition to be open. One such element is Japanese moshi, which can occur in conditional antecedents and topics. I argue that in both constructions, moshi requires the context to be ‘iffy’, in the sense the antecedent proposition or the set of individuals picked out by the topic must not be settled in the context. I build on Ebert et al. (2014) and analyze moshi as an element that imposes an iffy requirement on the speech act performed by conditional antecedents and topics.