Khloe Kardashian and Lamar Odom have been talking constantly.

The reality star filed for divorce from her husband of four years in December following allegations of the basketball player's infidelity and drug abuse, but sources claim the pair haven't given up hope on their marriage just yet. "They're talking all the time. It's not over yet," an insider said.

The 29-year-old brunette has just moved into Justin Bieber's former Calabasas, California, mansion - which cost her a cool $7.2 million - and is said to be building an inside basketball court in her new home, which Lamar hopes could be a sign of a potential reconciliation. "Her installing a basketball court really says something. He thinks he could get Khloe back," another source added.

The 34-year-old sports star is currently back in the US after quitting Spanish basketball team Laboral Kutxa due to an injury.