A design for an implantable medical device (IMD) is disclosed in which a charging coil and a short-range RF antenna in the IMD's header are physically integrated, and in which the short-range RF antenna includes intentional coupling to the charging coil. A pick-up is capacitively coupled to the charging coil in the header, such as by wrapping the pick-up at least partially around the turns of the charging coil. The charging coil is used to receive power via a magnetic inductive link at a first (preferably lower) frequency, while the combined charging coil and pick-up—together acting as the short-range RF antenna—receive and transmit short-range RF data (e.g., Bluetooth) via a short-range RF data link at a second (preferably higher) frequency. Resonance of the charging coil and short-range RF antenna can be independently tuned, and circuitry can prevent interference between them.