The government is yet to give its official response to the Hutton report.
Besides keeping his own job, Mr Blair may no longer be forced to sack his defence secretary, Geoff Hoon, who had been seen as a likely casualty of the Hutton report.
The further education staff say they are striking because of the government's support for the principles laid out in the Hutton report on public sector pensions - raising contributions, moving to a career average scheme, and linking pension rises to the lower measure of inflation, CPI.
"That is not something that was in Lord Hutton's report, " she told the BBC's Andrew Marr show.
Lord Hutton's report follows two months of hearings in which Mr Blair himself was called to give evidence.
No matter how radical, or otherwise, the government's programme may be, it is Lord Hutton's report that many believe will decide its future.
Speaking to the BBC, junior health minister John Hutton said the report must be the "catalyst for change" in the care of children.
Ed Miliband, the newly elected Labour leader, said he would not decide if he was for or aganst Lord Hutton's report until he had read it.
The Exchequer contribution to the MPs' scheme is higher than "employer contributions" to other public sector pension schemes including teachers, the NHS, civil service, police and fire service schemes, according to Lord Hutton's report on pensions.
Reflecting on recent years, Sir Michael described the events leading to the publication of Lord Hutton's report examining the death of weapons expert Dr David Kelly as the "greatest existential threat the BBC has faced in recent times".
He also said what many are thinking about the looming report by Lord Hutton into the death of Dr David Kelly.
All public service pensions were reviewed in 2010 by Lord Hutton, with his final report in March 2011 recommending a wholesale move away from final salary schemes to pension based around career average earnings.
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Health Minister John Hutton said the findings of the report will be carefully studied and action was already in hand.
One of Mr Hutton's first jobs will be to deal with the final report of Adair Turner's Pensions Commission, due at the end of the month.
But, after the backlash against Lord Hutton, a minimum political requirement was that the committee, which will report by the end of July, should have the support of the main opposition party.
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