The phrase "already proceeding" is correct and usable in written English.
It can be used to indicate that an action or process is currently underway or has begun prior to a certain point in time.
Example: "The project is already proceeding according to the timeline we established last month."
Alternatives: "currently in progress" or "already underway".
Commercial drone trials are already proceeding in Canada.
The policy was already proceeding, though slowly, when a sudden acceleration caused by a spate of carjackings in November forced the pace.
And the changes in the Future Combat program, which was expected to cost $160 billion, illustrate how the administration is already proceeding to reshape military spending.
However, many in the party are already proceeding under the assumption that he will run for governor, and the jockeying among Democrats interested in replacing him as attorney general has become intense.
Mr. Gates conceded that in his advice to Mr. Obama about the matter, he had expressed concern that a change of command would sap the war effort of momentum at a pivotal moment, when by all accounts it is already proceeding more slowly than expected.
Shadow health secretary Andy Burnham said: "NHS privatisation is already proceeding at an alarming pace.
Injustice and irrationality already proceed from this inept piece of social engineering.
But most UK adoptions already proceed without the consent of the child's birth parents and twice-yearly letterbox contact is the norm.
To reveal why he wanted to kill guy X, would inflame a case that has already proceeded out of all proportion to its seriousness – just take my word for it that it's a situation in which any of us might use this phrase hyperbolically.
My Twitter followers have already proceeded to mock me for doing so.
Although this product has already proceeded to the stage of industrial production, the variety in techniques employed by different manufacturers make the final products by far not identical.
