The couple welcomed their first child together just days after allegations surfaced that the basketball player was unfaithful during her pregnancy

Khloé Kardashian isn’t making any rash choices regarding her future with boyfriend Tristan Thompson in the wake of his cheating scandal.

“Khloé still hasn’t made a decision about her relationship with him. They’re not broken up yet,” a source tells PEOPLE.” It’s such a tough call for her to make right now, and she’s just taking it day by day.”

Khloe Kardashian And Tristan Thompson at LIV at Fontainebleau
Credit: Seth Browarnik/Startraks

The couple welcomed their first child together, a baby girl, on Thursday, just days after allegations surfaced that the basketball player was unfaithful to the reality star during her pregnancy. (A fifth woman was linked to the Cleveland Cavaliers power forward Friday.) Thompson is already a father to 16-month-old son Prince Oliver from a previous relationship.

Khloé’s mom Kris Jenner and sister Kim Kardashian West flew to be by her side as she gave birth in a Cleveland hospital, and now, the source says, the 33-year-old new mother is preparing “to get back to L.A. as soon as possible” despite originally intending to raise her child primarily in Ohio. (“Tristan won’t be coming back with her,” the source adds.)

“Her family is being as supportive as possible, but they also know how stubborn she is,” the source explains. “She will stay with him if she wants, and there’s really nothing they can say that will change her mind.”

Thompson, 27, “is really excited about the baby,” the source adds. “The situation has been overwhelming for him, but he’s also super happy to be a dad again.”