Detectives have been reviewing witness testimonies given during the case and have sent “initial papers” to the Crown Prosecution Service.
A CPS spokesman said: “We have received initial papers from the police in relation to potential perjury allegations during the Lawrence trial.
“It would be fair to describe this as ‘pre-investigation’ of these specific matters and we will continue to talk to police about this issue.
“This is not a file of evidence for our consideration of charges. It is part of ongoing liaison in relation to all issues in this case.”
Police and prosecutors have not revealed which witness or witnesses may be investigated.
A Scotland Yard spokesman said: “We continue to liaise with the CPS on a number of matters, including allegations of perjury, as part of our ongoing work following the trial.”
Gary Dobson and David Noris were convicted last month at the Old Bailey of the racially-motivated murder of Lawrence, 18, in 1993.
The black teenager was stabbed to death near a bus stop in Eltham, south London, in an attack by a group of white youths.
Dobson, 36, claimed he was at his parents house when the killing happened, while Norris, 35, couldn’t remember where he was at the time.
Dobson received a minimum jail term of 15 years and two months and Norris was told he must serve at least 14 years and three months.
The pair are both seeking to challenge the convictions.