Things are certainly getting serious for Hollywood’s newest couple dubbed “J-Rod.”

Alex Rodriguez has fallen fast for Jennifer Lopez, a source close to the former New York Yankee tells ET.

MORE: Jennifer Lopez Rocks Sexy White Mini-Dress on Dinner Date With Alex Rodriguez: Pics!

The couple was seen getting cozy in New York City on Friday during a lunch outing at Marea restaurant, an eyewitness says. The pair did not dine alone as they were spotted arriving solo and sitting “super close” at a corner table with two others inside the Columbus Circle eatery. “A-Rod gave J.Lo a sweet touch when he got up," the eyewitness notes.

"They seem so happy and comfortable with each other. During the meal, they were very affectionate. When J.Lo got up from the table he offered her his hand and was being very chivalrous."

Lopez stunned in a patterned mini-dress while Rodriguez sported a beige suit as he held up an umbrella shielding them from New York’s rainy weather.

So what has made Rodriguez fall so quickly for the 47-year-old singer after just one month of dating?

MORE: Jennifer Lopez and Alex Rodriguez Show PDA on Date at Yankees Spring Training Game

It all hit him when he saw how at ease she was with his family. We're told they're exclusive right now and that he's happy and knows he’s with a beautiful woman. He wants to see her as much as he can before their schedules start to get busy, according to our source.

Since the news broke that the two were an item, they have been spotted together everywhere from the Bahamas to Florida, New York and Los Angeles.

ET has broken down all the details inside their hot and heavy union:

They Can’t Spend Time Away From Each Other

If their several outings haven’t proved it enough, an eyewitness told ET that when Rodriguez and Lopez were in Los Angeles last weekend, they just couldn’t “seem to spend a minute apart.”

“The hot new couple spent the day together [on Saturday] and were spotted arriving at SoHo house for lunch. After lunch, they returned back to Jennifer’s home in Beverly Hills," the eyewitness added.

Lopez and Rodriguez are currently in New York City, where they've hit up Marea restaurant for lunch two days in row.

He Thinks She’s Simply Amazing

A-Rod guest-hosted The View on Friday and when he was asked about Lopez, he couldn’t help but gush. “She's an amazing girl," he said of the mom of two. "One of the smartest human beings I've ever met, and also an incredible mother. She just likes simple things," he shared. "She's a very dry, simple person. She bows family. Great sister. Great daughter.”

“We've been having a great time," he added.

They Work Out Together

MORE: Jennifer Lopez and Alex Rodriguez Hit the Gym as They Take Their Romance to L.A. -- See the Pic!

These fit stars have been seen on multiple occasions hitting the gym side by side. They recently worked out together twice in one weekend while in Los Angeles. Of course, we know J.Lo is an amazing dancer but the former baseball player admitted while on The View that he definitely isn’t the only athlete. "For one, she was a track star in high school [and] in junior high," he revealed. "She was an awesome athlete."

For more on the couple, watch below:

Reporting by Darla Murray