The present invention relates to oligopeptide-free cell culture media comprising at least 0.5 mg/L of a polyamine and to methods for cultivating cells in said oligopeptide-free cell culture media comprising at least 0.5 mg/L of a polyamine. The invention also relates to methods for expressing at least one protein in a medium comprising at least 0.5 mg/L of a polyamine and to methods for producing at least one virus in a medium comprising at least 0.5 mg/L of a polyamine.