Khloe Kardashian ''hasn't given up'' on Tristan Thompson.

The 33-year-old reality star was said to be ''blindsided'' when her boyfriend was seemingly depicted leaning in for a kiss with another woman in video footage which emerged just days before she gave birth to the pair's first child, a daughter named True.

Tristan's alleged infidelity, is said to have led to confusion for the 'Keeping Up with the Kardashians' star, who isn't sure whether to part ways with her NBA star beau over the claims.

A source told E! News: ''She has one foot out the door but is also holding on to the fact that her and Tristan can make it work. She hasn't given up on him yet, but also hasn't really been focusing on their relationship. When they see each other, it is all about the baby and parenting together. Khloe has fallen in love with him all over again, watching him be a dad to True, but [she also] knows she needs to really take a step back and make the right decision.''

Since True's birth, Khloe has been staying at the Cleveland home she shares with Tristan, 27, but the sports star has been staying elsewhere.

The insider added: ''Khloe thinks it's great they have been having a bit of space right now, but she is worried about their future. She hasn't figured it out yet. It doesn't help that everyone close to her thinks she needs to split from Tristan and has told her she can do this on her own. Khloe needs to do what's right for their baby.''

This isn't the first time the 'Revenge Body' star has been said to be considering her options when it comes to her romance with Tristan, as a previous source said she was ''torn''.

They added: ''She's not in a bubble of denial. She knows what's going on and is still trying to process it, but so far, she's managed to move past it and look forward.

''Khloe is very settled in Cleveland right now and is planning on staying another few weeks to a month at least. Of course, that could change, especially since every day there seems to be more stories [coming] out about Tristan.''