Duty calls: Simon Cowell and pregnant Lauren Silverman arrive at X Factor studios... days after he enjoys a four-hour bonding session with Lauren's father

Simon Cowell appeared to be in an upbeat mood as he arrived at CBS Studios for another appearance on The X Factor USA – and little wonder.

The 54-year-old was accompanied by pregnant lover Lauren Silverman, whose father Cowell had enjoyed something of a bonding session with over the weekend.

Sporting a trademark white T-shirt and baggy, boot-cut jeans, the music mogul briskly shook hands with a production assistant outside the Hollywood studio before making his way inside for a taping of the beleaguered show.

Duty calls: Simon Cowell arrives at CBS Studios with pregnant Lauren Silverman for a taping of The X Factor USA

Take my hand: Cowell extends a palm towards a waiting production assistant

Lauren’s blossoming baby bump was on full display beneath her figure hugging black dress as she clambered out of Cowell’s gleaming ride on a pair of strappy heels.

The socialite, who is expecting their first child in the New Year, recently introduced the man in her life to protective father Steven Davis during a dinner date in Miami.

Cowell was spotted sharing a rather awkward looking handshake with Mr. Davis after a four-hour get-together before they indulged in a friendly man-hug as they made their way onto the street. 

Standard: The music mogul sported his trademark white T-shirt and boot-cut jeans for his latest outing with Lauren

Don't mind us: The pair climb out of their car after arriving at CBS Studios in Hollywood

Stepping out: Lauren clambers out Cowell's car after they arrive at CBS

A source later told the Mirror that he publicly declared his verdict of Cowell, reportedly saying: 'I love him. The best... There's nobody like this guy.'

The mogul’s meeting with Lauren’s father comes amid reports that a divorce settlement filed by Lauren’s estranged husband Andrew Silverman warns him to stay away from their seven-year-old son Adam.

Should Cowell break the agreement, Lauren will reportedly be forced to pay her ex a £31,000 fine.
New York City businessman Andrew is allegedly so upset that former pal Cowell romanced his wife that he added a string of unusual clauses into his divorce papers.

Lauren has to make sure her son doesn't call Simon - who UsWeekly claimed this week has a ring and will propose to the Manhattanite next year - 'father,' while Andrew has to make sure the child doesn't call anyone but Lauren 'mother.'

Shae on it: Cowell gets a warm welcome as pregnant Lauren climbs out of the car

Plenty to talk about: Simon Cowell and Lauren Silverman chat with two friends outside the studio

TMZ also reports, 'The settlement agreement also provides Andrew cannot trash Simon to Adam and has a legal obligation to make sure no one else around him talks smack.'

Andrew is paying Lauren $3,000 a month in child support. The site speculates that 'Simon will become the cash cow.'

The British TV personality is reportedly worth $370m.

Shady: Cowell and Lauren keep their eyes hidden behind sunglasses as they chat to pals