The phrase "altering the draft" is correct and usable in written English.
You can use it when discussing changes or modifications made to a written document or proposal.
Example: "After receiving feedback from the team, I will start altering the draft to incorporate their suggestions."
Alternatives: "modifying the draft" or "revising the draft".
Selective Service System spokesmen said there were no immediate plans to alter the draft regulations to sidestep yesterday's decision.
(Mr. Netanyahu's government said last week it would seek to alter the draft amendment so that all immigrants, not just non-Jews, take the oath).
The Super Bowl of NFL Draft scouting — the NFL Draft combine that takes place this week — can dramatically alter the draft status of aspiring players.
CJ Spiller going at No. 9 to the Buffalo Bills (projected at No. 10 by Kiper) might have led the Chargers to trade up to No. 12 to prematurely, in Kiper's eyes, take Ryan Mathews with the No. 12 pick, which then could have, in turn, altered the draft strategy of every other team, not only in the first round, but throughout the entire draft.
The NCC was established by an act of the Zambian Parliament in August 2007 for the "examination, debate and adoption of proposals to alter the... draft constitution" proposed by the Mung 'omba Constitution Review Commissionin 2005.
Another month of discussion and relatively minor refinement followed, during which several attempts were made to alter the Rutledge draft, though few were successful.
Altering the context altered the result.
Consider altering the environment.
He altered the wording of the draft so that the proposal came from the United States to Great Britain, rather than the reverse.
Faced with the politically explosive challenge of chopping as much as $60 billion out of next year's budget, Congressional leaders are now advancing proposals that would radically alter the way Congress drafts the annual spending plan.
