The family of Breonna Taylor, a black woman who was killed by police in Kentucky, have agreed to a multimillion-dollar settlement with the city, The Guardian reports, citing US media sources.

Taylor was shot dead when police officers entered her home during a drugs investigation.

The settlement will reportedly be announced later on Tuesday and will include a "substantial" payout and various police reforms, likely to include the requirement that all search warrants are approved by a senior officer.