A group of Tories say they want another review, despite Hudak winning another mandate after the 2011 election loss for the party.
After an election defeat, party rules dictate that there must be a leadership review. The group wants the constitution amended so the vote can be held at any time.
The proposal requires the support of 66 per cent of the 900 party delegates and will be up for debate Saturday afternoon.
Hudak will hope to convince them not to vote in favour of that amendment.
Newly elected Toronto MPP Doug Holyday and a group of 27 candidates and party officials signed a letter supporting Hudak, urging others to reject the proposal.
A Hudak supporter wants to also make a "friendly amendment" to the motion that would require the same rules to apply to the party president.
If the amendment is passed, a petition asking for a review would have to be signed by 25 per cent of the Tory MPPs, the rising association presidents in non-member held ridings and the party executive.
The support of 66 per cent of the convention delegates is required for an amendment to the party's constitution.
Hudak has been under fire since his party won only one out of five byelections in August – the Toronto riding of Etobicoke Lakeshore.
The Liberals kept their hold on Scarborough-Guildwood and Ottawa South, while the NDP won London West and Windsor-Tecumseh.
Despite Hudak boasting the party had finally made a breakthrough in Toronto – which they hadn't done for a decade, the losses seemed to be the last straw for some Tory members.
Hudak's recent trouble also includes scandals with caucas members.
Hudak fired Peter Shurman from his job as finance critic after Shurman refused to pay back housing allowance.
He also demotes Randy Hiller after emails criticizing the party went public.