David Trimble's leadership strategy will be scrutinised
The party will hold its annual leadership election as well as the elections of party officers at the meeting at a hotel in Belfast.
Senior party members have said Mr Trimble is not expected to face a leadership challenge this year.
The party leader has been under continued pressure from the anti-Agreement faction of his party on the issues of IRA arms, a mooted amnesty for on-the-run republican suspects and the changes to policing.
However, Ulster Unionist Environment Minister Dermot Nesbitt, a strong supporter of Mr Trimble, said he was hopeful of greater unity in the party when the ruling council meets on Saturday.
Speaking on BBC Radio Ulster on Friday morning, Mr Nesbitt said: "I believe there is a recognition of the reality of what David Trimble is trying to do and the difficulty of the job.
"And there is also a recognition among all of us that the government is not playing fair by us - quite the reverse.
"For example, John Reid talked about recognising political identity. That is not in the Belfast Agreement."
Lagan Valley MP Jeffrey Donaldson said the focus should be on issues not personalities.
He called for greater pressure to be applied to republican and loyalist paramilitaries.
"I think there is a recognition that simply moving personalities around isn't going to change the nature of the problem that we face," he told BBC Radio Ulster.
"That is the failure of the terrorist organisations to honour their obligations and the requirement to use the political process to apply pressure to ensure that we actually get the steps that will lead to a real and lasting peace, and to stability in Northern Ireland."