This study establishes a fast and effective method to examine the potential of enhanced heavy oil recovery by polymer flooding. Experimental results of sandpack polymer flooding tests, for heavy oil samples with different viscosities, are analyzed. For each heavy oil sample, the polymer viscosity-sensitive range, within which tertiary recovery increases dramatically with increasing polymer viscosity, is different. To facilitate the evaluation of polymer flooding potential for heavy oils with various viscosities, the oil-water mobility ratio at the end of initial waterflooding is chosen as a normalization factor. Using normalization, an identical oil-water mobility ratio-sensitive range can be obtained for heavy oils with different viscosities. Based on the normalized relationship, the potential of enhanced heavy oil recovery by polymer injection can be quickly and effectively evaluated.