"full-time assignment" is correct and usable in written English.
You could use the phrase to explain a job or task, for example: "I'm starting a full-time assignment as a marketing consultant next month."
He has explained to them, this will be his new full-time assignment.
To pull this off, the department has taken what had been a part-time job for a handful of Fire Academy instructors, and expanded it into a full-time assignment for a staff of 56.
"It turned into an almost full-time assignment," he said over lunch in Los Angeles early last month, the rain lashing the terrace outside a serene restaurant on Sunset Boulevard.
By the end of 2012 he'll settle into his full-time assignment developing Caterpillar transmissions.
In a move that city officials say will save $60 million, that union agreed to suspend sabbaticals for a year and to let teachers in a reserve pool who do not have full-time assignments serve as substitute teachers.
We put them through an 18-month program, and then they get full-time assignments.
Academic and host institution mentors are very busy since they have other full-time assignments.
I had been lobbying my editors for nearly three years for a full-time foreign assignment of my own, enrolling in Spanish classes, reading histories of India, and visiting Mexico.
The office that Burnett opened in February at 300 Park Avenue South is full service, with 15 full-time employees working on assignments for marketers like Bacardi (Dewar's Scotch whiskey) and Samsung.
There were boos at the full-time whistle, and their next assignment is a daunting one, away to Italy on Wednesday night.
Atapattu's first assignment as full-time coach will be a seven-game one-day series against England in November and December.
