Khloe Kardashian does not want to exclude Tristan Thompson from her daughter, True's life

True, the daughter of Khloe Kardashian and Tristan Thompson, just got one and each of them took a liking to Instagram to cover her with love on her big birthday. Although the dust has calmed down a bit after Thompson cheated Kardashian with his ex-bestie, Jordyn Woods, the wounds have not healed yet. It can get complicated when a child is involved, but Kardashian will not dismiss Thompson from True's life.

Khloe Kardashian will not keep Tristan Thompson from his daughter

On his birthday, Thompson shared a series of photos of him with True, sharing the message that his kid was taking a big step. He subtitled the pictures: "Perfectly perfect. My little girl is one today. Men's time goes so fast but I am love every minute. We can not wait until we stay home all day and look at the lion king and patrol patrol lol. #my twin."

One source told PEOPLE that, despite her cheating, "Khloe has no desire to silence Tristan about True's life. He is his father and Khloe is much bigger than that. They communicate about True of course, but they do not end up together. "

The source added, "So for True's birthday, Khloé is looking for ways to involve Tristan. She does not see how he could be with his family at a party, though. Everyone is too angry with him. "

Khloe Kardashian celebrated the 1 st anniversary of True

A few minutes later, Kardashian posted a sweet tribute to
That's also true, by subtitling a series of photos: "Happy Birthday my sweet True !!
You are my true ultimate love! I am honored and so grateful to be your mom!
Today and until the end of time, I love you !! We have forever. "

In the photos, True was sitting in bed, surrounded by a sea of ​​pink balloons, some of which had the shape of hearts, stars and lips – and, of course, of a great # 1.

In his Instagram stories, Kardashian explained, "My baby is 1 year old today … where is the time going??"Followed by a series of adorable photos from last year. She also showed gifts, a decorated cake and birthday snacks, with photos of real donuts sprinkled with rose.

In the days leading up to her daughter's birthday, Kardashian expressed her "concern" for her daughter about to have her first birthday. She tweeted, "Is it strange that I think I have anxiety thinking that will be the case Friday?!?! I am sad that time is running out as fast as it is. I will be happy, of course, I just can not understand where the time is going. Thank you Lord, bring me the handkerchief at every moment.

Kardashian-Jenners Shower True with Birthday Greetings

The other family members also had nice things to say for the big day of True, and her grandmother Kris Jenner wrote on Instagram: "Happy Birthday to our beautiful True Angel !! You are ONE today! What a blessing you are for our family … You are the most precious gift and I love you more than words can say. "

Kim Kardashian tweeted: "Happy first birthday !!! You're so
special. I could not have dreamed of a best friend for you than your
cousin [Chicago West]. See how far you are exactly how mom and I are
and so we know how much fun you will have! I will always be here to
you my sweet baby, True.

Kylie Jenner also shouted a birthday wish on Instagram,
subtitling a photo of True and her daughter Stormi: "BENED. Happy Birthday
beautiful true. your energy is radiant and so special! I love you and I can not
wait to see you grow up.

Kourtney Kardashian also sent her love for her birthday by writing on Instagram: "No other name could suit you, my baby, true … such love that I see between you and your mom. Happy birthday sweet.