The paper considers an issues of the possibility of financing the pension gap by Polish pension system’s participants. The structure of the study is a result of undertaken research objectives. Firstly, the issue of pension adequacy is discussed. Then, on the basis of the conception of targeted replacement rates, the size of the pension gap in Poland is estimated. In the next stage, the Polish households’ potential for saving was assessed in the context of the possibility of financing this gap. As a result of the research, it was found that there is no reason to reject the hypothesis which states that the level of Polish households income allows them to accumulate additional pension savings, however, the average household is unable to generate enough savings to cover the whole pension gap.