Jennifer Lopez Is ‘Ecstatic’ After Alex Rodriguez's ‘Surprise’ Marriage Proposal, Says Source

“Jennifer is ecstatic and so are their families and friends. Very few people knew Alex planned on proposing. It was very much a surprise for Jennifer,” the source says. “It was just how Alex wanted it.”

Opening up about how Rodriguez’s decision to pop the question during the couple’s romantic getaway to the Bahamas was “very fitting,” the source explains that the destination “has always been very special to them.”

“Very early on in their relationship, they snuck away to the Bahamas to get to know each other in privacy,” the source adds.

The singer, 49, and former MLB player, 43, announced the happy news on Saturday, sharing matching photos of Lopez wearing her stunning diamond engagement ring as Rodriguez romantically holds her hand.

“She said yes,” Rodriguez wrote, while Lopez simply captioned the image with eight black heart emojis.

Benny Medina, Lopez’s long-time manager, also confirmed the news, while Rodriguez’s rep Ron Berkowitz told PEOPLE on Saturday, “They are on vacation and got engaged today.”

As for what’s next for the couple, the source tells PEOPLE that “they will enjoy their engagement for a few days before they head back to work.”

“They have no wedding plans yet,” the source adds.

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The pair have never been shy to shower each other with praise, and the source tells PEOPLE they’re “very much soulmates.”

“They are incredible together. Very much soulmates that bring out the best in each other and are so supportive of each other,” the source says. “From the start, they moved very quickly. Their relationship was always very passionate. Jennifer quickly fell very hard for Alex. And she quickly started planning for their future.”

Although the source adds that “there were talks about an engagement from early on,” Lopez then “realized that she wanted to live more in the moment” and “wanted to enjoy what they have together with the kids.”

RELATED: Jennifer Lopez and Alex Rodriguez Are Engaged! See Her Stunning Ring

Lopez and ex-husband Marc Anthony have 11-year-old twins Maximilian “Max” David and Emme Maribel, and Rodriguez and ex-wife Cynthia Scurtis share daughters Ella, 10, and Natasha, 14.