While the music mogul was busy filming The X Factor, Sarah Jane posted a photo of herself minding little Eric as they prepared for a shopping trip, presumably with the youngster's mother Lauren Silverman.
"Baby Eric with me smiling because us girls are loose with his Daddy's credit card," she captioned the picture. "Uh oh, watch out @SimonCowell."
Eric, who is now seven months old, is clearly not far from his famous father's side while he's in the UK working on X Factor – the first series he's made since becoming a dad.
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Despite only welcoming Eric on Valentine's Day this year, Simon is already considering having baby number two with New York-born socialite Lauren.
Simon Cowell and Lauren Silverman are already thinking about having baby number two
"Of course I'd like another child," he told The Sunday People. "You have one, and I'd always have another. I've thought about having one in between the series of X Factor."
According to Lauren, 54-year-old Simon wants to have a daughter.
"We’ll definitely have more children," Lauren told the Daily Mirror. "I would like one more. Simon wants a girl very badly."