Does phenomenal consciousness overflow access consciousness? Some researchers have claimed that it does, relying on interpretations of various psychological experiments such as Sperling's or Landman's, and crucially using alleged subjective reports from participants to argue in favor of these interpretations. However, systematic empirical investigations of participants' subjective reports are scarce. To fill this gap, we reproduced Sperling's and Landman's experiments, and carefully collected reports made by subjects about their own experiences, using questionnaires and interviews. We found that participants' subjective reports do not support the overflow thesis, but rather suggest alternative interpretations of the experiments.