Uri Brodsky is due to be extradited on suspicion of fraudulently obtaining a German passport believed to have been used by a member of the hit squad that Dubai says assassinated Hamas commander Mahmoud al-Mabhouh in a hotel room in January.
"I'm gearing up for him possibly arriving on Friday," a spokesman for prosecutors said in the western city of Cologne, adding that Brodsky otherwise probably would arrive at the start of next week.
Once Brodsky arrived in Germany, a judge would decide if he needed to remain in custody, or whether another deal with his defence lawyers could be agreed, the spokesman said. In this case, Brodsky could be released, he added.
Only then would it become clear whether charges would be raised against Brodsky and if so, what these may be, he added.
The passport in question was issued in Cologne in 2009.
Last week Brodsky's lawyer in Poland said her client may be put on trial for forgery, not espionage.
Mabhouh, born in the Gaza Strip, had lived in Syria since 1989 and Israeli and Palestinian sources have said he played a role in smuggling Iranian-funded arms to militants in Gaza.
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