Baroness Lawrence spoke about the abuse at a private meeting with Metropolitan Police Commissioner Sir Bernard Hogan-Howe.
Sir Bernard Hogan Howe has been summoned before MPs after Mark Ellison QC's major review of the Lawrence case.
Commissioner of the Metropolitan Police Service, Sir Bernard Hogan-Howe, fully supports the call from Baroness Lawrence for decisive action
Sir Bernard Hogan Howe said reports of "lorry loads" of shredding did not match up with the accounts he had heard.
In terms of when we knew about the shredding, it was on February 4 this year when officers who were providing information to Mr Ellison became aware by talking to a witness that there had been some shredding and immediately - or by the fifth - we shared that information with Mr Ellison.
Bernard Hogan Howe agrees that if allegations of corruption documents being shredded are true, it is a "serious blot on the Met's reputation".
The Met Commissioner said it was not wise for the Met to be involved in the further investigation into John Davidson, the officer said to have been corrupt.
The Home Affairs Select Committee will today take evidence on the Stephen Lawrence Independent Review from Metropolitan Police Commissioner Sir Bernard Hogan-Howe.
He is expected to answer questions on alleged corruption in the Force during the Lawrence murder inquiry.
Mark Ellison QC uncovered possible evidence of corruption in Met Police during his review of the Lawrence murder investigation. Stephen Lawrence was murdered in South East London in 1993 and the Metropolitan Police have been heavily criticized for their handling of the case.
Home Secretary Theresa May has suggested it may be difficult to find out who was responsible for authorising an undercover police officer to spy on the family of Stephen Lawrence following the black teenager's racist murder.
But Mrs May assured MPs that "every effort" will be made to ensure the truth comes out in the numerous investigations and inquiries into the police's conduct after Stephen was killed.
She said that Scotland Yard's record keeping on its own investigations into police corruption may make it difficult after the review also revealed the mass shredding of key evidence in 2003.
She spoke after Labour Hackney MP Diane Abbott called for an assurance that the identity of whoever authorised the Special Demonstration Squad's "spy in the Lawrence camp" will be revealed.
The best friend of murdered teenager Stephen Lawrence has spoken for the first time since a damning report found police spied on the Lawrence family.
Duwayne Brooks - who witnessed Stephen's murder in Eltham in 1993 - criticised the Metropolitan Police for insitutional predjudice and said more Londoners from all communities should join the force.
Baroness Doreen Lawrence, the mother of murdered teenager Stephen Lawrence, has written directly to the Met's Commissioner Sir Bernard Hogan Howe to call for him to take action on revelations that officers had spied on her family.
A report released yesterday found that an undercover 'spy' working for the Met had been embedded within the Lawrence family camp during the Macpherson Inquiry, which examined the Met's original investigation into the murder.
In the letter Baroness Lawrence asks for the Met to take decisive action against the individuals involved, and for the Commissioner to respond to her directly.
She also said that any confidence she had in the force had been shattered.
An undercover officer who allegedly "spied" on the Lawrence family disclosed details concerning the separation of Stephen Lawrence's mother and father, Doreen and Neville.
The officer - known as N81 - reportedly "touched on personal details" concerning the family to the Special Demonstrations Squad (SDS) during the 1998 inquiry into Stephen Lawrence's death, according to the Ellison report.
Neville Lawrence labelled the claims as "disgusting", telling the Daily Mail: "It's unbelievable. They have mocked everything we have done, telling us to our faces that they are listening and things will change, and all the time laughing behind our backs.
"I think they are actually worse than criminals because these officers get paid with taxpayers' money for what they do."