The phrase "already moving forward" is correct and usable in written English.
It can be used to indicate that progress is being made or that actions are being taken in a particular direction, often in a context of development or improvement.
Example: "Despite the challenges we faced, we are already moving forward with the project and making significant progress."
Alternatives: "progressing already" or "advancing already".
Or was he already moving forward on to the next thing?
The company is already moving forward with another partnership, with Japanese mobile developer DeNA, which will provide it with a more direct income stream from mobile games.
Neighborhood groups have sued the city over the zoning change, but Perez says it is already moving forward with plans and has begun work on the existing building.
McNabb had done that already, moving forward after struggling against the Giants in a one-sided defeat in the second week of the season.
She also noted that Myanmar, which has been moving swiftly away from dictatorship in the last year, is not a "genuinely democratic society" and, in a swipe at the government that only recently freed her from house detention, suggested that some business deals were already moving forward without transparency.
Meanwhile, a handful of U.S. architects and developers are already moving forward.
The same principle applies, it's just harder because the ball is already moving forwards so the backspin is harder to achieve.
By the time others caught on to the TVP sound, Treacy had already moved forward with the stunning album The Painted Word (1985).
An economic stimulus that has already moved forward; a campaign against "earmarks" for frivolous spending projects; grants for students in failing urban schools; new benefits for veterans and their families — all may be worthy proposals, and some may feasibly be enacted.
Yet other American companies have already moved forward with financial penalties, most often based around how much employees pay for their health insurance plans.
It prompts a humorous novel by Lewis (1963), The Evolution Man, in which some highly evolved hominids keep wondering whether they are still in the Pleistocene or they have already moved forward into the Holocene.
