ET has also learned that Khloe's mom, Kris Jenner, as well as sisters, Kim and Kourtney, and best friend, Malika Haqq, were in the delivery room when Khloe gave birth.
A source tells ET that the family is keeping the delivery room "as zen as possible" and that Tristan "is lucky to be there" under the circumstances.
"Kris has barely left her side and right now she knows Khloe needs to focus on the baby," the source says.
On Tuesday, photos and videos were published by multiple outlets that allegedly show Tristan being intimate with unknown women. Our source says that Tristan has been "apologetic and begging for forgiveness" since the scandal, and that although Khloe is crushed about the recent videos that have surfaced of Tristan with other women, she wants nothing more than to believe Tristan has done nothing wrong.
"Tristan is the man Khloe loves, and wants to spend her life with, so these videos have caused conflicting emotions for her," the source says.
Previously, a source who knows Tristan told ET that the allegations look bad for the 27-year-old NBA star.
“This whole thing is a mess," the source said. "But anyone who believes Tristan is an innocent guy who doesn’t cheat isn’t being honest with themselves.”
On Wednesday, Tristan was trolled with a sign reading "We [heart] Khloe," at the Cleveland Cavaliers' game against the New York Knicks at Quicken Loans Arena in Cleveland, Ohio. Other fans in attendance reported hearing boos from the home crowd when Thompson took the court.
An eyewitness told ET, “Whenever he appeared on the jumbotron, there was a lackluster response. A couple times when he came back onto the floor you’d hear faint booing or cheers, definitely not the welcoming he is used to from fans.”
"[Tristan] is usually a crowd favorite," the eyewitness added. "He always gets a lot of love, but tonight was definitely different. ... That was the energy surrounding him...awkward silence, disappointed stares, faint boos and cheering."
"They really like Tristan and have welcomed him into their family," one source said about the Kardashian clan. "At this point, Khloe's family wants nothing more than to believe that he is a stand-up guy. But only time will tell.”