progress toward (something)
To be in the process of reaching a particular destination, outcome, or goal. (Usually used in the continuous tense.) With the game progressing toward its conclusion, it seems like the reigning champions will walk away with another victory. The committee is progressing toward the end of its investigation.
progress toward something
to move partway toward some goal. Nancy is progressing toward her degree quite nicely. We are progressing toward the end of the project.