Christie Brinkley and John Mellencamp are still clearly in the infatuation stage with one another.

The couple, who were first linked last month, were snapped going on a romantic date at Scalinatella restaurant in New York City this past Saturday night. The 61-year-old supermodel flashed her signature sunny smile, while affectionately holding on to her man's arm.

WATCH: Christie Brinkley and John Mellencamp Are Dating, and Couldn't Look Happier

The two were definitely affectionate toward one another, and also spent time with another couple, an eyewitness tells ET. "They look like they have really fallen for each other," the eyewitness observed. "Christie looked really happy and was seen giggling at John."

Before their dinner date, the two held hands earlier in the day, Christie bundling up in a trench coat and suede boots.

On Sunday, the two were spotted again -- Christie holding a large green tote bag -- after checking out of a NYC hotel together, according to our eyewitness.

This, of course, isn't their first hotel outing together. News broke of their relationship last month when they were spotted having dinner together at The Bowery Hotel. Two days later, a source confirmed to ET that the two were in fact dating, after 63-year-old John brought her along to his appearance on "The Late Show with Stephen Colbert."

ET caught up with the beautiful Christie just last week, when she shared how she manages to look so flawless at 61.

"When you turn 60, the key is to not stop moving," she stressed to ET's Nancy O'Dell. "Once you start to stop moving, you rust. You got to just keep going."

WATCH: Christie Brinkley, 61, Sports a White Two-Piece Bikini During Italian Family Vacation