The 'Single Ladies' singer has been going out on morning drives in New York with her 40-year-old husband, avoiding the rush hour glare of commuters and steering clear of paparazzi.

A source said: 'Jay and Beyonce normally go out mid-morning when it's quiet. Their bodyguards are always in tow but they never ride in the car with them.'

Beyonce, 28, is doing so well in the lessons that Jay-Z, 40, is looking to buy a car for her – although she is keen to avoid anything too flashy, scuppering his plans to get her a Bentley.

The source added to The Sun newspaper: 'Beyonce wants something smaller. Money isn't an issue but she doesn't want to feel like she's driving a tank.

'She does want a car that's big enough to take out her family and friends if she needs to though.'

Beyonce has previously revealed she would like to start a family at some point in the future, and wants to be just like her own mother Tina – who helped nurture her talent in Destiny's Child as a young girl.

She said: 'It's not time for that yet. But definitely there will be a time. I want to be a great mother, the kind of mother that I have. I want the same bond that I had with my mom and that would be enough for me.

"The security and love I feel being in a relationship, a marriage, it's absolutely incredible. Incredible."