Khloe Kardashian ''isn't ready to give up'' on her romance with Tristan Thompson, after he was accused of cheating.

The 33-year-old reality star gave birth to the pair's first child, a daughter named True, 11 days ago, just days after a video surfaced which seemingly showed the NBA star leaning in for a kiss with another woman.

And although it was previously claimed Khloe would be leaving Cleveland - where she lives with Tristan - in order to continue her life at home in Los Angeles with her family, sources now say she is still unsure about whether she should leave her 27-year-old beau.

An insider said: ''Medically, she could leave Cleveland now - it's her choice to stay. She isn't ready to give up on her relationship with Tristan. She's still very torn. She doesn't want to make a decision right now.

''This was supposed to be the happiest time in her life. But she is still extremely disappointed with Tristan and isn't sure she can trust him again.''

According to the source, Tristan - who plays for the Cleveland Cavaliers - ''wants them to be together.''

They added: ''It seems he's willing to get help. He admits his behaviour is completely wrong.''

However, it has been claimed the 'Keeping Up with the Kardashians' star's family is pushing for her to split with the sporting star, as they don't want to see Khloe - who also faced infidelity in her marriage to ex-husband Lamar Odom - to get hurt again.

The source told People magazine: ''Khloé's family thinks she deserves much better. They want her back in Los Angeles. Khloé got very burned in the past because she's too loyal - no one wants her to stay with a guy who might not change.''

Khloe's reported indecisiveness comes after it was previously claimed the 'Revenge Body' star was living on her own with her daughter after kicking Tristan out of their shared home.

An insider said: ''She left the hospital and is staying at Tristan's house. Khloe is waiting for doctors to tell her it's safe to fly and then she will return to Los Angeles.''