Chairwoman of police watchdog the Independent Police Complaints Commission (IPCC) Dame Anne Owers said it will hold its own investigation into the claims that the two officers gave "misleading" evidence to the committee.
She said that both the IPCC inquiry into the original Sutton Coldfield dispute, and the latest claims over evidence, should be finished by Christmas.
We are going to wrap all of this up together. The question of what the officers did or didn't say in front of this committee is a relatively simple matter to deal with.
We anticipate that we will be able to complete both investigations this side of Christmas.
More top news
Doctors should stop telling people to "complete the course" of some antibiotics, a group of experts have warned.
Around 40 events will be staged across the UK today as nurses step up their campaign for the Government to end the cap on public sector pay.
Within the next seven days, we are going to witness some of the most significant change in the British Monarchy for many years.