Definition of assuming conjunction from the Oxford Advanced Learner's Dictionary
assuming
conjunction
əˈsjuːmɪŋ əˈsuːmɪŋ
assuming (that)used to suppose that something is true so that you can talk about what the results might beAssuming (that) he's still alive, how old would he be now?I hope to go to college next year, always assuming I pass my exams.