The announcement comes after a takeover scheme to delist Toshiba launched last month by a Japan Industrial Partners-led consortium closed on Wednesday.
"We have received a report from the offeror that the tender offer is forecasted to be successful," Toshiba said in a statement.
The final results will be announced once the company receives it, it said.
In March, Toshiba said the tender offer would be called off if the consortium failed to buy at least 66.7 percent of the outstanding shares.
The consortium taking control in the nearly two trillion yen deal includes 17 Japanese firms and six Japanese banks.
Toshiba, which once symbolised Japan's economic might, has recently been mired in scandals, financial turmoil and resignations.
Two years ago, a bombshell buyout offer from private equity fund CVC Capital Partners put a question mark over the conglomerate's future.
After the CVC offer was dropped, plans were floated to split the company up and spin off its device segment -- meeting stiff opposition from some investors.
Toshiba grew into a vast conglomerate, but has been in upheaval since it was rocked by a profit-padding scandal in 2015.
The company also suffered from huge losses at its US nuclear subsidiary, followed by a recovery that brought pressure from new activist shareholders.
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