A combustor includes a casing that encloses at least a portion of the combustor. A fuel conduit extends downstream from the casing and includes a tortuous path for fuel flow inside the fuel conduit. A method for supplying fuel to a combustor includes flowing a working fluid through tubes that extend axially through an end cap. The method further includes supplying a fuel through a fuel conduit into the end cap, supplying a diluent through a diluent conduit that extends axially inside the fuel conduit, and swirling the fuel flowing through the fuel conduit around the diluent flowing through the diluent conduit.