TARDIS team

You may be looking for Team TARDIS, a part of the "Team Totally" segment of Totally Doctor Who.

Though rarely used in the narrative of Doctor Who itself, the term "TARDIS team" is sometimes used by fandom and documentaries to describe a particular group of travellers in the Doctor's TARDIS. (DOC: Doctor Who Explained) For instance, the "TARDIS team" in The Sensorites was comprised of the First Doctor, Susan, Ian and Barbara.

Precise definition is as difficult for this term as for that of companion since dramatic situations vary considerably. In a story like The Masque of Mandragora, it's perfectly obvious that the only TARDIS travellers are the Fourth Doctor and Sarah, so they're the "TARDIS team". But when Sarah comes back after her tenure was over, things get tricky. In both The Five Doctors and School Reunion she's not really a part of the incumbent "TARDIS team", but she's still generally regarded as a companion in those episodes. Equally, during the Third Doctor's exile on Earth, was it even possible to have a "TARDIS team", since the TARDIS was on the fritz?

Regardless of these complexities, it is usually possible to assert a definition for the "TARDIS team" in a particular story.