In CuAlNi single crystals, amplitude-independent and amplitude-dependent internal friction due to phase transformation exhibits different temperature dependence in the transformation temperature range during direct transformation. An ADIF{sub pt} maximum is observed near the M{sub s} temperature, suggesting that at least part of the ADIF{sub pt}, is a pretransformational phenomenon, which may be associated with the nucleation of martensite at the dislocations in {beta}-phase. The hypothesis that both AIIF{sub pt} and ADIF{sub pt} may be separated into premartensitic and phase transition components, may allow one to explain rather complicated experimental observations in a coherent fashion.