Swiss champions Basle stand between Maccabi Tel Aviv and a place in the group stages of the Champions League.
Maccabi will travel to Switzerland for the away leg on August 18/19, with the return in Israel a week later.
They were indebted to Israel striker Eran Zahavi earlier in the week following his double that helped them overturn a first leg deficit against Viktoria Plzen.
Maccabi's sporting director Jordi Cryuff says the club will be looking to bring in new signings to boost their hopes of qualification.