How Khloe Kardashian and Tristan Thompson are handling custody of daughter True

Despite their current personal issues, Khloe Kardashian and ex-boyfriend Tristan Thompson are peacefully co-parenting their daughter, 10-month-old True, a source tells ET.

Kardashian, 34, and Thompson, 27, split late last month after the NBA star reportedly cheated on her with 21-year-old Jordyn Woods -- Kardashian's sister, Kylie Jenner's, best friend. Our source says that while Kardashian and Thompson don't have a formal custody agreement in place, so far, they are "on the same page" with True.

“Khloe has True for the majority of the time," the source says. "Khloe’s able to bring True or be with her at work, where Tristan can’t. Also, True spends a lot of time with her big family and all the cousins are in L.A. so it makes the most sense for her to stay with Khloe."

"Khloe and Tristan may have their issues but Khloe will never deny Tristan a chance to spend time with his daughter," the source adds. "Things may change in the future, but for now Khloe and Tristan are on the same page with True being with Khloe for most of the time.”

The reality star has kept her focus on her daughter amid the headline-making cheating scandal. On Wednesday night, Kardashian shared adorable pictures of True on her Instagram Story, as well as a video of her kissing her on the cheek.

View this post on Instagram

💕💕💕

A post shared by Khloe Snapchat (@khloesnapchats) on

"At the end of the day I am thankful that my blessings are bigger than my problems," she also posted.

Continuing her more positive vibe on social media, she Instagrammed a glamorous selfie on Thursday, writing, "I believe in you, your abilities and you heart! Stay positive about everything. Each one of us, is simply trying to figure it all out."

A source told ET on Tuesday that Kardashian is now focused solely on co-parenting with Thompson, and not a romantic relationship.

"Khloe is getting better with every day that passes," the source said. "Khloe and Tristan are still communicating and always will. Khloe is very big about 'I’m having the father of her child staying in her life no matter how bad things get.'"

But despite maintaining communication for True, the source noted that the pair "aren't getting back together and Khloe knows she needs to move on."

Previously, Kardashian backtracked after initially calling out Woods on Twitter for breaking up her family, and said that ultimately, it was Thompson's fault.

"I’m a rollercoaster of emotions & have said things I shouldn’t have," she tweeted after receiving backlash for placing the blame on Woods. "Honestly, Tristan cheating on me & humiliating me, wasn’t such a shock as the first time. What’s been harder & more painful is being hurt by someone so close to me. Someone whom I love & treat like a little sister."

"But Jordyn is not to be blamed for the breakup of my family. This was Tristan’s fault," Kardashian continued. "I have to move on with my life & count my blessings, my family, my health, & my beautiful baby True."

And it appears Thompson may have already moved on. He was spotted out with a mystery woman in NYC on Tuesday the night before his team, the Cleveland Cavaliers, was scheduled to take on the Brooklyn Nets.

21 PHOTOS
Khloe Kardashian and Tristan Thompson
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Khloe Kardashian and Tristan Thompson
We are ready whenever you are little mama 🦋
FBF to one of my favorite days with all of my favorite people... my surprise party 🎉 man, everyone was sooooo good at keeping that secret! Hrush, Jen and Tristan were so calm, cool and collected during glam 👀 I need to watch you sneaks lol That was such an epic night!
❥ Mom and Dad ❥
LOS ANGELES, CA - FEBRUARY 17: Tristan Thompson and Khloe Kardashian attend the Klutch Sports Group 'More Than A Game' Dinner Presented by Remy Martin at Beauty & Essex on February 17, 2018 in Los Angeles, California. (Photo by Jerritt Clark/Getty Images for Klutch Sports Group)
Mommy and Daddy 📸 @sashasamsonova
LOS ANGELES, CA - MARCH 10: Tristan Thompson and Khloe Kardashian pose for a photo as Remy Martin celebrates Tristan Thompson's Birthday at Beauty & Essex on March 10, 2018 in Los Angeles, California. (Photo by Jerritt Clark/Getty Images for Remy Martin )
✨ To the happiest of birthdays my love! How special is this thing called life that we share together?! I am so blessed to be creating beautiful monumental memories with such a wonderful man! I hope this year brings you all that you dream of! You will forever be my always! I love you baby! ✨
💗
“When a woman is loved correctly, she becomes ten times the woman she was before” Thank you my love ❤️
✨ Day 1 of 2018 ✨
❥The day I met you, my life changed. Thank you my love!❥
👑Game Of Thrones 👑 thank you for everything @styledbyhrush @andrewfitzsimons @bryanhearns @missjilljacobs !! Happy Halloween 👻 🎃🦇
❤️ My Love ❤️
My love 💙
My birthday was incredible! Dream like almost! It's actually hard to put into words how special I feel and it's mainly because of this man right here! Thank you baby for treating me like a Queen every single day! Thank you to all of my friends and family for helping surprise me and for being the best anyone could ask for!! (Tap for glam details)
❤️
💕 US 💕
Sweet Sunday 💋
The Fab Four
To the happiest of birthdays my love! To the first of many more together! May God continue to bless you in all of your days! And may we forever look at one another like this 💋
❥ իմ սեր ❥ Im ser ❥ All my Love ❥
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