Yes actually, as Khajiit are sentient no matter their form they still have intelligence and can communicate. The non-verbal species(Alfiq, Alfiq-Raht, Pahmar, Pahmar-Raht, Senche, Senche-Raht, and possibly the Tojay and it's Raht equivalent.)are capable of communicating using advanced versions of normal feline communications. This means the verbal species of Khajiit not only understand them through a racial link, but also that the Khajiit are able to understand their non-verbal-selves through the use of Body language, vocal creations, and pheromone releases.

Now, if you aren't one for writng what I like to call "Natural Speech" through those forms of non-verbal communication, you can use telepathy of the Gms permit it. The Alfiq are magicka-inclined after all. If they spend the years to learn it, they could actually gain telepathy. Though know this for future reference, Telepathy is a conjuration spell, and is n fact a spell that most be cast before use. It isn't a heavy duty spell that requires tons of magicka, but it is one that is complex to learn and complex to hold for a long duration after casting.