The planned meeting, confirmed by a lawyer for the patients, comes on the heels of Fukuda's surprise announcement on Sunday that his ruling coalition would draft legislation to compensate all patients under equal conditions.
Fukuda, who already faces voter anger over mishandled pension records and a bribery case involving a former top defence official, was dealt another blow last week when patients who had sued the government and drug makers rejected a government proposal for compensation.
The patients turned down the government plan that would aid 1,000 patients, because it aimed to pay sufferers according to when they had been administered tainted products. The patients have also demanded that the government make clear its responsibility in the scandal.
At least 10,000 people are estimated to have contracted hepatitis C from tainted products. Most cases have been linked to fibrinogen, a coagulant used to stop haemorrhaging during surgery or childbirth and sold in Japan even after it was withdrawn in the United States in 1977.