It is also believed that Sarah, 31, did not immediately stop for police when they signalled at her to stop.
Sarah, who has enjoyed a highly successful career with girl band Girls Aloud for over 10 years, was then taken to Holborn Police Station early on Thursday evening.
The Ascot-born singer was then bailed and is now due to appear at Highbury Corner magistrates' court on 16 April.
The incident comes just after Girls Aloud ended their reunion tour and announced that their time as a girl group was over. The quintet revealed they are going their separate ways on the last night of their 10-year-celebration tour.
At the beginning of the month Sarah confirmed that her former bandmate Cheryl Cole is moving to America. Sarah said Cheryl is heading Stateside with her boyfriend Tre Holloway in a bid to try and crack the US.
"I'm going to miss her," Sarah said. "But I'm probably going to go out there at some point this year so hopefully we'll catch up then. Tre is lovely." News of Cheryl's departure comes amid reports that Simon Cowell is hoping to get her back on the US X Factor. In 2011, she was famously axed from the show after just three weeks - but now music mogul Simon is trying to win her back, perhaps prompting her move across the Atlantic.