A method for operating a compression-ignition internal combustion engine including an exhaust aftertreatment system having an oxidation catalyst fluidly coupled upstream of a catalyzed particulate filter includes introducing fuel into an exhaust gas feedstream of the engine upstream of the oxidation catalyst, determining operating parameters associated with the exhaust gas feedstream, determining a hydrocarbon slip rate through the oxidation catalyst corresponding to the operating parameters associated with the exhaust gas feedstream and the introduced fuel into the exhaust gas feedstream, and controlling a flowrate of fuel introduced into the exhaust gas feedstream upstream of the oxidation catalyst in response to the estimated hydrocarbon slip rate through the oxidation catalyst.