Benji the Hunted (1987) on Netflix

In this children film Benji the Hunted, the show dog Benji is lost at sea and winds up in the wilderness of Oregon to fend for himself. Benji's one and only plan is to get back into his master's arms as soon as possible, until he finds four orphaned cougar kittens whose mother was shot by a hunter. Now his ultimate task is to get the four orphaned kittens into the care of another mother cougar with her single child while avoiding the threatening animals of the wild.