The phrase "already progressing" is correct and usable in written English.
It can be used to indicate that something is currently in motion or development, often implying that it has been underway for some time.
Example: "The project is already progressing well, and we expect to meet our deadlines."
Alternatives: "currently advancing" or "making headway."
At the recent public health conference in Manchester, Keogh highlighted three areas where healthcare is already progressing with the aid of technology.
However, they will have to hurry because the efficient ash clean-up operation is already progressing quickly and local residents hope life in the southeast will be back to normal very soon.
We cannot rule out that a minority of our patients identified as high risk were already progressing to develop full-blown ALI at the time of enrollment, although the exclusion of those who developed ALI within 6 h of ED presentation intended to minimize this possibility.
It needs to set up a good research, statistics and surveillance system - that is already progressing well.
However, video games are already progressing past these techniques to tell new kinds of stories by exploring paradigms of agency, modes of interaction, our connection to other players in multiplayer environments and presence in virtual worlds".
Furthermore, some cases were already progressing through transition or had been discharged from the service.
She is close to leaving school and has already progressed further than many of her peers.
The students of Palmas Academy, however, have already progressed toward their goal.
Furthermore, topiramate is effective in the treatment of patients already progressed to CM and difficult-to-treat conditions associated with medication overuse.
By six weeks of age, my HIV had already progressed to AIDS and I was on life support.
On the morning of d2.5, many were noted to have already progressed to the 8 and 16-cell stages.
