Kourtney Kardashian and Travis Barker‘s son might be Rocky, but they’re not letting him sink in this pool … keeping him floating as a fam on a picturesque vacation.

The happy couple took their infant to Portofino — the popular vacation destination in Italy … hanging out with him and KK’s daughter, Penelope, earlier this week.

Mamma Kardashian and Papa Barker are two proud parents in these pics … holding their son — clad in his blue shorts and yellow-orange bucket hat — up above the water and dipping him in.

Travis and Kourtney take turns holding their son … and, a final image shows Kardashian snuggled up against her man’s arm — planting a kiss on his shoulder.

Rocky’s getting a lot more attention in public these days … ’cause Kourtney and Travis took him on a family outing just last month — cheering on his dad during a ceremony in his hometown of Fontana.

They also took Rocky on a Blink-182 tour last year … before he even turned a year old — so, this kid is already preparing for the limelight.