The government is launching a review into whether a new law is needed to tackle dangerous cycling.
It will consider whether an equivalent offence to causing death by dangerous driving is needed for cyclists.
It comes after Charlie Alliston, who killed Kim Briggs while riding a fixed-gear bike with no front brakes, was convicted under Victorian law.
Mrs Briggs’ widower Matthew Briggs welcomed the review, saying the case “highlighted a huge gap” in the law.
Alliston, 20, was cleared of manslaughter but convicted under the 19th Century offence of “wanton or furious driving”.
On Monday he was sentenced to 18 months in a young offenders’ institution.
After the conviction, Mr Briggs called for the introduction of new laws, including causing death by dangerous cycling.
Ministers are now seeking independent legal advice on this, with the review due to report in the new year.
Announcing the move, the government said there had been a “series of high-profile incidents” involving cyclists and that in 2015, two pedestrians had been killed and 96 seriously injured after being hit by a bicycle.
Transport minister Jesse Norman said: “It’s great that cycling has become so popular in recent years but we need to make sure that our road safety rules keep pace with this change.
“We already have strict laws that ensure that drivers who put people’s lives at risk are punished but, given recent cases, it is only right for us to look at whether dangerous cyclists should face the same consequences.”
He told BBC Radio 4’s Today programme that the review will consider how the law should be updated “so there is a proper legal remedy if a pedestrian is seriously injured or killed by a cyclist” and whether or not there should be a new law.
But he added that was “only part of the problem” and the inquiry will consider “much wider elements of cycle safety affecting cyclists and pedestrians, but also the relationships with motorists”.
The government said signage and public awareness would be among the issues looked at by the review.
Some cycling groups point out the number of deaths caused by cyclists remains extremely low compared with the figures for cyclists and pedestrians killed and injured by motorists.