Asked whether the coalition would change after the vote, Mr Clegg said that during its first year, in which difficult spending decisions had been made, "real collective discipline" had been required.
But she predicts that even those impressed by Nick Clegg are likely to vote for Labour to keep the Tories out.
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The Conservatives regard the existing pattern of seats as skewed against them, and changing that bias would be an important boost to their hopes at the next election - but after the defeat of Lords reform at the hands of Tory backbenchers, Nick Clegg and his MPs will now vote against, in revenge.
At the general election, Lib Dem MPs, including party leader Nick Clegg, signed personal pledges that they would vote against any increase in tuition fees.
As tensions rise ahead of the vote next week, Lib Dem leader and deputy PM Nick Clegg also entered the debate, telling The Times that Labour was "learning the tricks of opposition" but "to oppose everything is to offer nothing and the country will not be duped".
But comments from Deputy Prime Minister Nick Clegg suggest the prime minister will struggle to win the vote.
BBC: Plan to axe MPs in disarray after House of Lords defeat
Deputy Prime Minister and Liberal Democrat leader Nick Clegg said he believed people would look back at the vote and see it as "a landmark for equality in Britain".
The vote in favour of the emergency motion came shortly ahead of Mr Clegg's closing speech, which argued the Lib Dems were no longer a "party of protest" but one of government.
BBC: Lib Dems reject 'secret courts' plan at spring conference
The government had been facing defeat on the vote and Lib Dem sources say Prime Minister David Cameron told his deputy Nick Clegg that the timetabling motion should be pulled to gather support for it among Conservatives over the next two months.
Nick Clegg is now firmly opposed to boundary changes and has said he will vote against them in 2014.
Newspaper reports suggested that Mr Clegg and Business Secretary Vince Cable may be preparing to abstain in the vote - due before Christmas - in order to hold the parliamentary party together.
BBC: Clegg refuses to say if he will abstain on tuition fees
But Nick Clegg has told his Lib Dem MPs to "stay away" from the vote, expected later on Wednesday.
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Unless David Cameron and Nick Clegg do a deal and defuse the row, their government can delay a vote on the issue only for so long.
Lib Dem activists will press for a vote on axing the NHS bill at next week's spring conference - despite Nick Clegg's efforts to reassure his party.
At question time on 27 July 2010, Mr Clegg said holding the ballot on whether MPs should be elected by the alternative vote (AV) on the same day as next May's elections to the Scottish Parliament and Welsh Assembly, as well as some local authorities in England, would boost turnout and save money.
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