The Liberal Democrats intend to table a motion for a debate on the issue by assembly members in the Senedd next week.
Mr Cairns said the motion calling for a full assembly debate on the windfarm proposal on Tuesday clashed with the Conservatives' conference in Bournemouth.
BBC: Artist's impression of the turbines at Scarweather Sands
Up to 100 Tory backbenchers are thought to be prepared to vote against a timetable motion, limiting the time for debate on the bill in the Commons.
John Dobson, Conservative councillor for Dersingham, has proposed a motion calling for an "extraordinary, full council" meeting to debate "whether to proceed with procurement in its present form, or at all" which will be discussed at Monday's full council meeting.
But sources close to Mr Clegg told the BBC they believed the motion would be defeated, if selected for debate, once activists see the level of support for the amended bill among Lib Dem MPs and peers.
MPs will debate a Tory motion next week calling for the inquiry's proceedings to be held in public "whenever possible".
The government, he said, should "recognise this" and set aside time for a debate, on an "votable motion".
MPs will decide next week whether to approve a "timetable motion", which would set out the amount of time for debate on the House of Lords Reform Bill and the terms of its passage through Parliament.
Although the government has a big enough majority to see off any no-confidence motion, analysts say the televised debate has become a focal point in the battle for public opinion.
The debate culminated in a vote in which MPs rejected Labour's motion calling for the publication of all communication between the Home Office and UKBA on the level of checks over the summer, by 300 votes to 247, a majority of 53.
Guernsey's minister for Health and Social Services has resigned, ahead of a planned States debate on a motion of no confidence.
During a debate held on Wednesday, led by Mr Hilton, the council supported an amended motion calling for the chief executive to seek robust support to defend the unanimous decision of the planning committee.
BBC: Javelin Park waste incinerator decision 'to be defended'
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