Jennifer Lopez, Alex Rodriguez
Alex Rodriguez and Jennifer Lopez attend the Vanity Fair Oscar Party at Wallis Annenberg Center for the Performing Arts in Beverly Hills, California, on Feb. 24, 2019. Getty Images/Dia Dipasupil

Alex Rodriguez and Jennifer Lopez are completely unaffected by the baseball shortstop's cheating allegations as the newly engaged couple was spotted together on a romantic dinner date in New York City on Saturday. Just days after the retired Yankees star popped the question during their romantic Bahamas getaway, former baseball pro Jose Canseco made some outrageous claims about Rodriguez on Twitter.

On Saturday, Lopez, 49, was photographed beaming at Rodriguez as the pair walked arm-in-arm to Italian restaurant Carbone to enjoy their date night. Lopez stunned in a chic black velvet suit with subtle sparkles, which she paired with a matching bag and a tucked-in blue shirt. Photos shared by People magazine showed Rodriguez wearing a black leather jacket with a black t-shirt, jeans and a pair of black boots.

Earlier on Saturday, Rodriguez said he couldn’t be happier “to be back in the greatest city in the world.”

“There’s nothing like walking around New York,” he said in an Instagram video, which also shows him giving his former baseball team a shout-out. “You can smell opening day right around the corner. Yankee baseball. Best fans, best franchise, best.”

A source close to Lopez recently told People magazine that the singer was very surprised by Rodriguez's vacation proposal.

“Jennifer can’t stop looking at her ring,” the source said. “She is obsessed and loves it. She keeps saying that the proposal was the best surprise ever.”

“They were going for a beach walk when Alex asked her to marry him. Jennifer loves that the proposal was so romantic and low-key,” the source added. “She loves that Alex knows her so well and felt comfortable keeping it real instead of going for a flashy proposal. It was a dream proposal for Jennifer. She wouldn’t have wanted it any other way.”

Amid the cheating allegations, Rodriguez's bruise under his left eye which was seen when the couple arrived in Miami last Tuesday after a romantic getaway, made fans think that Lopez's fiancé encountered some sort of mishap. Photos showing Rodriguez with a bruised eye came two days after Jose claimed the 43-year-old was cheating on Lopez with his ex-wife, Jessica Canseco.

However, Jessica took to Twitter on Tuesday to slam her ex-husband Canseco's allegations.

"Those false accusations Jose is making are not true," the Playboy cover girl posted on Twitter. "I have known Alex for many years and haven't even seen him for over 5. I certainly did not sleep with him. I am friendly with both him and Jennifer."