The radio said a Qatari envoy will arrive at Ben Gurion Airport in Tel Aviv on Sunday or Monday before heading to the Palestinian territory.
The move came two week after the Israeli government suspended the transfer of the money allocated to pay salaries of employees in the Gaza Strip.
Israel cited rocket fire from the Palestinian territory for suspending the transfer of the Qatari cash.
There was no confirmation yet from Israel or Qatar on the report.
The Gulf state pays $15 million a month to pay salaries of Gaza-based employees and as aid to poor families in the Palestinian enclave as part of an understanding between Israel and Palestinian group Hamas with a view to calming the situation in the seaside territory.