A medical canister connector is presented for connecting to a medical canister, which has a patient port and a reduced-pressure port. The medical canister connector includes a first connection member that is coupled to a patient-port-attachment member, which is for coupling to a patient port on a medical canister and has a patient-port opening with a first longitudinal axis. The medical canister connector also includes a second connection member coupled to a reduced-pressure-port-attachment member, which is for coupling to a reduced-pressure port on the medical canister and has a reduced-pressure-port opening with a second longitudinal axis. A spacing member or pressure transport member may be used to couple the first connection member to the second connection member. The spacing member or transport member flexes and twists during connection. The medical canister connector may also help organize one or more pressure-sensing conduits. Methods are also presented.