The 23-year-old 'Price Tag' singer regularly keeps in touch with her fans via twitter, but reportedly fears she may have left herself vulnerable to unwanted attention by being so open.
A source told the Daily Star newspaper: ''Jessie has a great and close relationship with her fans and that will not change.
''But fame carries its risks, as proved by the incident involving Simon. We are just talking about an extra minder or two when the occasion merits it.
''There will also be a review of security around her home.''
Meanwhile, it has been claimed police found the intruder at Simon's house crouching on a shelf 7ft up in his walk-in wardrobe.
The 'x factor' boss was watching himself in an interview on 'The Jonathan Ross Show' on Saturday night (24.03.12), when a woman is alleged to have smashed his bathroom window and entered his home with a brick in her hand.
According to The Sun newspaper, Simon, 52, has now also beefed up security to ensure he is protected at all times. A source said: ''It's a shame as he prides himself on being a man of the people, but he just can't take chances.''
Leanne Zaloumis, 29, of Catford, south east London, appeared at West London Magistrates Court yesterday (26.03.12) accused of aggravated burglary with intent. She was remanded in custody Until June 12.