Simon Cowell and Lauren Silverman Leave Baby Eric at Home for Beach Day

Posted Sunday February 23, 2014 1:30 PM GMT

Spending some time as a couple away from baby Eric, Simon Cowell and Lauren Silverman hit the beach in Miami on Saturday (February 22).

The "X Factor" judge wore blue and white printed swim trunks as his lady covered up in a matching long blue sleeveless dress while they walked their Yorkshire terriers, Squiddly and Diddly.

Earlier this month, the happy couple proudly introduced Eric to the world and details are emerging about the choice of a name.

In an interview with People, Simon's publicist Max Clifford reveals why he was named after his late father, sharing, "What he is striving for is to build the same relationship [with his son] over the years. It's the whole family thing – he got a tremendous amount of comfort from the relationship he had with his mum and dad. They were very, very close."