Abstract: An ink supply line support system (100) for a continuous ink refill system (10) for an ink jet printer (90) having a print carriage (91) that traverses across a print bed (96) and is adapted to receive one or more disposable ink jet cartridges (12). The ink supply line support system (100) includes an elongate guide structure (102) having a first end (104) operably connected to the ink jet printer (90) at a fixed location (106) and a second end (108) operably connected to the print carriage (91). The second end (108) is movable relative to the first end (104) in a first orientation along the direction in which the print carriage (91) traverses across the ink jet printer (90), but is substantially rigid relative to the first end in a second orientation that is transverse to the first orientation. An attachment mechanism (110) is positioned along an exposed surface (111) of the guide structure (100) for detachably securing at least a portion of at least one ink supply line (16) to the guide structure (102).