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Discover LudwigThe phrase "am on course" is correct and usable in written English.
It can be used to indicate that someone is on track to achieve a goal or follow a plan.
Example: "Despite the challenges, I am on course to complete my project by the deadline."
Alternatives: "I am on track" or "I am proceeding as planned."
Dictionary
am on course
verb
To switch on.
synonyms
Exact(3)
I'm about to graduate from Teesside University in multimedia journalism and am on course to get a first-class degree.
But I am on course to finish writing my thesis within two and a half years, six months ahead of time.
Even my electronics are sending me affirmation that indeed I am on course, aligned with my highest purpose!
Similar(57)
In fact, we may be off-course more often than we are on-course.
In Olympic year, the world number one would be on course to win a calendar 'Golden Grand Slam'.
Likewise, only one country (Benin) is on course to meet the target on wasting reduction (3).
They are on course.
They were on course.
Yet Guardiola feels he is on course.
In Poland, meanwhile, preparations are on course.
He was on course to achieve gold.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com