December 13, 2017 03:15 PM

Jennifer Lopez and Alex Rodriguez hit up the Great White Way on Tuesday, to see one very special star: Bruce Springsteen.

The couple, who have been going hot and heavy since starting their relationship in February, stopped by The Boss’ critically acclaimed solo show Springsteen on Broadway and met him backstage afterwards for some dressing room photos.

“Baby we were BORN to RUN…” Lopez, 48, captioned a photo on Instagram, quoting one of Springsteen’s most popular show. “#theboss #when1plus1equals3 #brucespringsteen.’

Rodriguez, 42, had equally great things to say about the show. “Wow! What an incredible journey conveyed through music and storytelling tonight from Bruce Springsteen,” he captioned a shot of himself with the star on Instagram. “He is one of the all-time greats and he and [wife Patti Scialfa] are American treasures.”

RELATED: All the Restaurants Where Jennifer Lopez and Alex Rodriguez Have Been Spotted Together

Springsteen on Broadway is the hottest ticket in New York City right now, with a single seat in the 939-capacity Walter Kerr Theater going for a starting ticket price of $850 (more than three times what it takes to see Broadway’ other smash musical, Hamilton).

The intimate one-man show of singing and storytelling, which began performances on Oct. 3 and will play a limited five nights a week run through June 2018, has the 23-time Grammy winner — who conceived, wrote and directed the show — singing his greatest tunes live and sharing his stories about the songs, much of which is adapted from his 2016 autobiography, Born to Run

Jennifer Lopez/Instagram

Scialfa shows up for two numbers in the show. Other songs include “Thunder Road,”  “Born in the U.S.A.,” “Tougher Than the Rest,” “The Ring,” “Dancing In the Dark,” and “Land of Hope and Dreams.”

Patti Scialfa and Bruce Springsteen
Bruce Glikas/FilmMagic

RELATED VIDEO: Will Alex Rodriguez Get Jennifer Lopez a Ring for the Holidays?

Meanwhile, JRod’s romance continues to blossom — with a source close to the pair telling PEOPLE exclusively that “Let’s Get Loud” singer might be getting a very big (and shiny!) present from the baseball player for Christmas.

According to a Lopez source, the superstar couple are looking forward to a future together with their kids (Rodriguez’s two daughters, Natasha, 13, and Ella, 9, and Lopez’s 9-year-old twins Emme and Max) and could very well get engaged over the holidays.

“All the kids want Jennifer and Alex to get married,” the insider said. “There are definitely talks about getting married, but Jennifer is old-school and will wait for the engagement ring before she entertains any wedding talk.”

For all the details on J-Rod’s relationship and their plans for the future, pick up the latest issue of PEOPLE, on newsstands Friday.

“They are very happy that all the kids get along and have accepted their new family,” the source added. “Jennifer feels Alex is her true soulmate and can’t believe how happy she is with him.”

Rodriguez — who “smiles any time marriage comes up,” the source said — is also head over heels for the actress, who’s been hard at work on her upcoming film Second Act in New York City.

The pair plan to celebrate the holidays in Miami and also get some much-needed rest and relaxation in the Bahamas, added the insider.

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