The invention is directed to a cable assembly (10, 10a-b), comprising a cable (10, 10a-b) with a cable hose (11, 11a-b) and at least one conductor (12, 12a-f) arranged therein. The cable hose (11, 11a-b) is spaced a distance apart from the conductor (12) forming a first interstitial space (15, a-b) between the at least conductor (12) and the cable hose (11, 11a-b). At least one tube (20, 20a-b) for conveying of a cooling fluid (21), and a connector (30) comprising at least one contact member (31) interconnected to the at least one conductor (12) and a chamber (32). Said chamber (32) comprises a first port (33) which is interconnected to the first interstitial space between the at least one conductor (12, 12a-f) and the cable hose (11, 11a-b) and a second port (34a, 34a-b) which is interconnected to the at least one tube (20, 20a-b).