The worldwide development secretary is meeting the charity on Monday and warns it can not remain a "partner" if it fails to account for its actions, reported BBC.
All of these would be followed up, she told the BBC's Andrew Marr.
Oxfam, one of the biggest charities in Britain, Australia and other parts of the world, has condemned the behaviour of some former staff after a newspaper report said aid workers had paid for sex orgies while on a mission in Haiti to help those affected by the devastating 2010 natural disaster.
More than 120 workers for British charities were accused of sexual abuse in the past year alone, sparking fears overseas aid organisations are being are being targeted by paedophiles.
Oxfam has denied allegations that it tried to hide that some of its staff paid prostitutes in the aftermath of the quake.
The former Secretary of State said that "the reason why Oxfam has landed in this position is because they have not been fully open and transparent about what happened".
He added: "If we can be part of helping with references or cross-checking then we'll play an active part in that because I've seen the fantastic work that Oxfam is doing in the Congo, Syria, in Bangladesh, Yemen, in places other people simply won't go".
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Salah continued by explaining why he chose Liverpool , "It's a great club, we have fantastic players, a good team, an incredible team".
Speaking about the allegations, she said: "I think it's a complete betrayal of both the people Oxfam were there to help and also the people that sent them there to do that job".
Former Oxfam staff in Chad told the paper that "women believed to be prostitutes were repeatedly invited to the Oxfam team house there", and a senior staff member was sacked for his behaviour in 2006.
Oxfam said it could not corroborate the latest claims but it said it was "shocked and dismayed" at what it called the unacceptable behaviour by a small number of people.
"Sexual abuse is a blight on society and Oxfam is not immune", Thomson said.
Ms Mordaunt revealed the charity had "categorically" stated to the Department for International Development (DfID) that no harm was done and beneficiaries were not involved, which she said was a lie.
United Kingdom officials have said that Oxfam needs to hand over all its information on the issue in order to not lose funding.
Oxfam has denied any cover-up.