After a committee of MPs said the bedroom tax unfairly affects disabled people, Tim Farron says his party will push for change.
The firm that carries out assessments for disability claimants is quitting its contract early, the Government has announced.
MPs have voted in favour of the government's plans to cap welfare spending - her is how it will work.
New curbs on benefits for migrants and tougher rules on recruiters and colleges are part of a package of measures Downing Street hopes will show it is getting tougher on immigration.
ITV News Political Correspondent Emily Morgan reports:
The Government is consulting on plans to ban overseas-only advertising of jobs, by legally requiring employment agencies to seek applicants for posts in Britain.
New plans to restrict the number of JobCentre Plus vacancies automatically advertised on an EU-wide employment portal will also be floated.
Home Secretary Theresa May said: "We are building an immigration system that is fair to British citizens and legitimate migrants, but tough on those who abuse it or flout the law.
"The Immigration Act is a landmark piece of legislation that will make Britain a less attractive place for those who come here for the wrong reasons, and allow us to remove more people when they have no right to remain."
David Cameron has failed to fulfil his promise to get net migration down to tens of thousands, the shadow Home Secretary has said.
Speaking following the Prime Minister's announcement of fresh curbs on benefits for migrants, Yvette Cooper said Labour called for tougher benefit restrictions nearly 18 months ago.
"We need less talk from the Prime Minister on immigration and more action," she said.
"The Government should get a grip and finally implement Labour's proposals to stop the undercutting of wages and jobs for local workers by the exploitation of low-skilled migrant labour, including banning recruitment agencies that only hire foreign workers and pressing for stronger controls in Europe."
Writing in The Daily Telegraph, David Cameron said:
– David Cameron
We changed the rules so that no-one can come to this country and expect to get out-of-work benefits immediately; they must wait at least three months.
And we are announcing today that we are cutting the time people can claim these benefits for.
It used to be that European jobseekers could claim JSA (jobseeker's allowance) or child benefit for a maximum of six months before their benefits would be cut off, unless they had very clear job prospects... we will be reducing that cut-off point to three months, saying very clearly: you cannot expect to come to Britain and get something for nothing.
Taken together, this is about building a different kind of Britain - a country that is not a soft touch, but a place to play your part; a nation where those who work hard can get on.
European immigrants will only be able to claim benefits for three months unless they have serious job prospects under plans outlined by David Cameron.
The Prime Minister insisted the change would make it clear to migrants that they cannot get "something for nothing" in Britain and further address what he claims is the "magnetic pull" of the benefits system.
The plans will build on changes announced in January that mean European migrants have to wait three months after arriving in Britain before claiming out-of-work benefits.
After that three months, migrants will now only be able to claim benefits for three months unless they have "very clear job prospects" - a cut from the six months of claiming announced in January.
The TUC have said that a poll of more than 1,600 adults showed that most were opposed to the five-week wait for benefits
TUC general secretary Frances O'Grady said:
– TUC general secretary Frances O'Grady
Making people who have contributed all their lives wait five weeks before receiving any help is both cruel and vindictive.
Just as with the bedroom tax, it shows that ministers are desperately out of touch with the lives of ordinary people.
People who lose their jobs need to be concentrating on looking for a new one, not worrying about whether they have enough money to pay the mortgage, keep up with their rent or feed their children.
The five-week wait is yet another ill-thought out idea and should be enough to send the whole policy back to the drawing board.
Recently unemployed adults may have to wait five weeks before they get any benefit payments, according to a new report.
The report, published ahead of the latest unemployment figures, said the new five-week wait will apply to anyone making a fresh claim for social security benefits.
The union organisation said it was a "new and deliberate delay" which could distract new claimants from looking for work and drive them into the hands of payday loan firms.
The Government's Universal Credit programme will roll out across more JobCentres from the beginning of next week.
The new payment, which combines six means-tested benefits and tax credits into one benefit, will be expanded across the north-west of England.
The latest figures show that up to March of this year, 6,550 people had claimed Universal Credit.
Almost half of cancer patients are unhappy with the process of obtaining the new Personal Independence Payment benefit.
Macmillan Cancer Support said their survey showed 47% of patients were dissatisfied with the process - a third because of the delays and almost a quarter (23%) because of "poor communication from the Department for Work and Pensions.
Macmillan's head of policy Duleep Allirajah said: "Our report shows the real and shattering impact of these PIP delays are having on cancer patients.
"It is unacceptable that people struggle to heat their homes, are saddled with debt or are left anxious or depressed because they are waiting so long for their much-needed benefits."
Benefits delays are leaving thousands of cancer patients forced to wait months to find out if they will receive help, a charity has found.
A survey from Macmillan Cancer Support found 4,500 cancer patients had been made to wait six months or more for a decision on whether they will get the new Personal Independence Payment (PIP).
The charity said the poll had shown the "shattering" impact of the problems with the introduction of PIP, which has replaced Disability Living Allowance.