Keith Turner, the chairman of F&P Appliances, said the company's directors and senior officers who held shares in the firm had all agreed to sell at Haier's latest offer price.
The New Zealand company's independent directors are now recommending investors accept the offer, which comes in at the bottom of the $1.28 to $1.57 per share independent valuation.
Tower Investments chief executive Sam Stubbs, whose firm manages a 3.68 per cent stake in F&P Appliances, said the fund manager was yet to decide whether it would sell at $1.28.
"The issue we have is that [the new offer] is right at the bottom end of the valuation range," Stubbs said.
Shane Solly, a portfolio manager at Mint Asset Management, said his firm was also still considering what it would do with the F&P Appliances shares it manages.
"We're happy to see the increase," said Solly. "Obviously it's in the [independent valuation] range but is it enough for everybody to accept?
"I'm not sure that it is."
Haier director Liang Haishan said the new offer represented a 71 per cent premium to F&P Appliances' pre-offer share price and provided investors with "certainty and the opportunity to realise cash from their investment now".
If Haier secures 90 per cent acceptance it will automatically snap up the remaining 10 per cent of shares and be able to de-list F&P Appliances.
Global hedge funds are understood to have bought up roughly 10 per cent of the shares in the Kiwi manufacturer during the heavy trading that has taken place since the offer's launch.
Market commentator Arthur Lim said it was likely the hedge funds would now sell into the offer at a profit, which could take Haier's shareholding in F&P Appliances beyond 60 per cent.
Mark Lister, head of private wealth research at Craigs Investment Partners, said the new offer would be high enough for most investors to accept. But some stubborn shareholders would probably refrain from selling.
"It is an iconic company and it is a brand that people associate with New Zealand so there will be an element of, 'No, we don't want to sell to the foreign investors'."
Lister said the company's share price would fall after the offer closed and investors that remained after that point would be minority shareholders in a firm they had little influence over.
F&P Appliances shares closed at $1.265 last night.
Fresh offering
* $1.20 - Initial offer per share
* $1.28 - New offer per share.