pH Change After Titration of NaHCO3 with HCl

In a titration experiment, hydrochloric acid (HCl) is added to a solution containing sodium bicarbonate (NaHCO₃). The equation for the reaction occurring in the solution is:

NaHCO₃ + HCl → NaCl + H₂O + CO₂.

As the titration progresses, what would you expect to happen to the pH of the solution immediately after all the sodium bicarbonate has reacted with hydrochloric acid?