Tiki Barber and fiancée Traci Lynn Johnson may have postponed their Hamptons nuptials last month, but the couple looked like they couldn’t wait for their honeymoon at the Einstein Emerging Leaders launch party at Three Sixty on Thursday.

The pair showed up looking sharp at the TriBeCa benefit for the Children’s Evaluation and Rehabilitation Center at the Albert Einstein College of Medicine, but they apparently stole off at one point to play doctor themselves.

“The two of them spent the first part of the night enjoying sushi, sliders and fresh pasta while mingling with guests and listening to DJ Louie XIV spin,” said a spy. But after an hour of mingling, they slipped away to a private room.

“Some staffers went into the room a few different times and saw them deep in conversation on the couch, which then turned into some canoodling in the corner,” said a spy at the fete for 500. “They were there for over an hour!”

After their quality time together, the lovebirds emerged to party some more, then headed into the night: “They took the party to where I can only assume would be home,” a spy joked after the couple’s romantic tête-à-tête at the bash, which was stocked with young professionals interested in supporting health-care research.

The ex-Giant told us yesterday: “Our good friend Kyle Widrick invited us, and we went to support him. The cause is obviously important, and it was a fun crowd, so we enjoyed it.

“Both Traci and I have been burning both ends of the candle, working full-time and getting through charity season, so we stole away to have some quiet time because I hadn’t seen her all day. We actually went back into the party for another hour or so, then [left] because I was wiped.”

He added the couple’s wedding plans — moved back from May so Barber’s divorce could be finalized — are “going well, keeping on schedule.” And when we mentioned he and Traci — who rocked a flirty red party dress and strappy heels — were looking smart at the Einstein bash, he quipped, “Traci is always making me look bad because she’s so damn beautiful.” Smooth.