Khloe Kardashian has welcomed her baby girl, TMZ, CNN and other outlets report.

Khloe gave birth in the early hours of Thursday morning (late Thursday night AEST), and the baby’s father Tristan Thompson was there despite the cheating scandal that unfolded this week – the NBA star appears to have been unfaithful with several women in recent months and as recently as last weekend in New York.

The little girl does not have a name yet, and Kris, Kim, Kourtney and Khloe’s best friend Malika were all there, TMZ reports. Thompson was pictured leaving the hospital outside Cleveland about 12 hours after the baby was born.

“The Kardashians are furious with Tristan, but despite what happened in New York, Khloe really wanted him there for the birth of their daughter,” a source told Page Six.

Meanwhile People reports Khloe wants to leave Cleveland and get back to Los Angeles as soon as possible, however they may not be able to do that safely for weeks, depending on the health of Khloe and/or the baby.

“The goal is to get Khloe out of there as fast as they can without jeopardising the safety of the baby after she’s arrived,” a source said. “Khloé just wants to be home.”

As we reported yesterday, the 33-year-old is “distraught” and in “complete disbelief” at the photos and videos that surfaced this week.

Some show Thompson at a New York club appearing to kiss a stripper identified as Lani Blair, who he is also shown entering his New York hotel with and leaving more than 12 hours later.

More photos show him kissing and intimately touching two women at a hookah bar in October last year, when Khloe was three months pregnant.