Kourtney Kardashian and Travis Barker could "likely" end up "building" a "more permanent future together"

A source told 'Entertainment Tonight': "Kourtney and Travis really recognise now more than ever how special their relationship is and how fortunate they are to spend their time together whether it's just the two of them, with friends or with their families.

"They could also definitely see themselves ending up together one day and it's really whatever makes Kourtney happy.

"Building a future together in a more permanent respect could likely happen."

Most of all, the couple are proud of how well their families have "integrated" so seamlessly together.

Kourtney has Mason,11, Penelope, eight, and six-year-old Reign with ex-partner Scott Disick, while Travis has Landon, 17, and Alabama, 15, with ex-wife Shanna Moakler.

The source continued: "They feel like their biggest accomplishment thus far is how seamlessly they've integrated their families together.

"That's always been very much a focus for both of them and they feel proud that everyone can be supportive of their happiness.

"Their kids have all gotten a lot closer and both sets of kids think Travis and Kourtney are awesome.

"Kourtney gets along great with Travis' kids and the same goes for Travis with Kourtney's kids. They have all known each other for a very long time and the rest of Kourtney's family loves Travis too. They adore how he treats Kourtney and how he always puts her and their families first."

An insider recently claimed the pair reportedly discussed the "possibility of getting engaged and married".