Sir Bernard Hogan Howe said reports of "lorry loads" of shredding did not match up with the accounts he had heard.
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.
The head of Scotland Yard admitted his force has been damaged by the Plebgate controversy but defended his own handling of the affair.
Metropolitan Police Commissioner Sir Bernard Hogan Howe said there was "no doubt some damage had been done".
He also insisted crime statistics were "generally sound" despite investigations into serious allegations that officers are manipulating them to improve performance records.
One officer is being prosecuted and eight face disciplinary action in the wake of the row over claims - which he disputes - that the then cabinet minister Andrew Mitchell called officers "plebs".
Sir Bernard said soon after the incident that his officers "accurately reported what had happened".
The London Assembly Police and Crime Committee will question the Metropolitan Police Commissioner Sir Bernard Hogan-Howe on the work of the Metropolitan police later today.
Deputy Commissioner Craig Mackey and Deputy Mayor for Policing and Crime Stephen Greenhalgh will also appear.
Crime statistics and student protests are just two of the subjects to be discussed at the meeting.
Police taking part in Operation Hawk, which is targetting cannabis factories, have made 93 arrests.
Officers have executed 28 warrants and found four cannabis factories in Bromley, seizing more than 2000 cannabis plants.
A firearm was also recovered in Sutton.
One of Britain's top officers took part in a series of dawn raids during a drugs crackdown across the capital today.
Metropolitan Police Commissioner Sir Bernard Hogan-Howe joined Operation Hawk, which involves stamping out drug dealers in London.
More than 500 drugs warrants were executed by hundreds of officers as part of Operation Hawk, in a crackdown on street-level drug dealing in 32 London boroughs.
The force also launched a "mock cannabis farm" inside an old police command vehicle, which will be shown to communities across London to help raise awareness.
The mock cannabis farm is complete with equipment recovered from farms, including fans, lights, cables and other paraphernalia. Officers will be on hand to explain the dangers of growing cannabis.
Commander Stephen Watson, who led today's raids said: "Drug dealing and cannabis cultivation damage communities and generate organised and violent crime, money laundering and anti-social behaviour.
"The MPS is determined to tackle this issue head on with the assistance of London's communities, many of whom cite tackling drugs as a priority for local safer neighbourhoods teams.
"While activity to tackle drug dealing has always been a high priority for the MPS, with major operations carried out with partners against high-level drug dealers on a regular basis, Operation Hawk's focus is to increase operational activity on drug dealing at neighbourhood level."
The head of the Met Police has said that an apology for the use of dead children's identities would be "pretty false", as investigators do not yet know who is affected.
Commissioner Sir Bernard Hogan-Howe insists there is no reluctance to say sorry after claims that undercover officers used the details so that their fake identities would stand up to scrutiny.
An investigation into the claims is under way.