A source connected to the Church Of Scotland Evangelical Network said an attempt to get General Assembly commissioners to support maintaining the position of allowing Kirk Sessions to opt to allow gay ministers, or "depart" from the traditional stance, for the time being, is likely to be successful.
However, a number remain discontented over what they earlier described as the gay clergy "crisis".
The Network wants to stay within the Kirk to work on its "reformation and renewal" after being set up following the compromise deal last year.
The source said: "I would say the majority are in favour of the Legal Questions overture (to continue the compromise).
"But there are quite a few not sure what will happen [at the General Assembly]."
It has also been suggested an influential figure is considering taking the floor to support the liberal stance.
The source added: "We don't know who will be at the Assembly yet or who will speak.
"There could be a call for all-out liberal acceptance."
It is claimed more than 100 of the country's congregations are represented in the network.