The type of humility the Torah advocates comes only after one realizes how elevated he really is. Then there is value to humility. A lack of this awareness is not a virtue, but a major fault.
Rabbi Elchonon Wasserman was asked if his teacher the Chafetz Chaim, who was an extremely humble person, was aware of his own greatness.
“Yes,” Rabbi Elchonon replied. “Although the Chafetz Chaim was imbued with great humility, nevertheless he frequently acknowledged personal responsibility for the spiritual welfare of his entire generation.”
Sources: Chovos Halvovos 6:2; Ohr Elchonon, vol.1, p.64; Rabbi Zelig Pliskin’s Gateway to Happiness, p.124