"#saturdayvibes," Lopez captioned a photo on Instagram of herself and Rodriguez intertwined on the couch.
The Yankees lost 4-5 to the Orioles, but won 7-3 against the team the next day. People reported Lopez and Rodriguez enjoyed having a quiet day at home after "a long work week."
"They were happy to spend a quiet Saturday at home before going for a late dinner," a source told the magazine. "Jennifer is still very happy. All she talks about is A-Rod. She loves dating him."
Lopez and Rodriguez were first linked in March, and were spotted together in the Bahamas the same month. Rodriguez confirmed his romance with the "I Luh Ya Papi" singer on the March 31 episode of The View.
"It's obvious [we're dating]," he said. "We're having a great time. She's an amazing, amazing girl. One of the smartest human beings I've ever met and also an incredible mother."
"She just likes simple things. She's a very, very simple person. She loves [her] family," the star added.
Lopez shares 9-year-old twins Max and Emme with ex-husband Marc Anthony, while Rodriguez shares two daughters, 12-year-old Natasha and 8-year-old Ella, with ex-wife Cynthia Scurtis. Lopez introduced Rodriguez to her mom, Guadalupe Rodriguez, last week.