"requires using" is a perfectly correct part of a sentence in written English.
You can use it when you need to express the idea that something needs to be done by using a specific tool or method. For example: "This task requires using metalworking tools."
The workaround itself requires using another computer.
That technology may revolutionize integrated circuit production -- but it definitely requires using products in ways the manufacturer didn't intend.
Transitioning between positions while lying on the floor requires using muscles in a different way than people are accustomed to.
Everybody in town is constantly singing and talking about the World's Fair, which requires using all the latest 1903 slang (hootchy-kootchy, tootsy-wootsy et al).
While a conventional well requires using about 80,000 to 100,000 gallons of water, shale rocks require anywhere between three million to five million gallons per well.
The Senate bill requires using the National Assessment of Educational Progress, a test that 41 states currently give to a sampling of fourth- and eighth-grade students.
Beyond wage problems, many manicurists say their job requires using harmful chemicals that often cause allergic reactions, breathing problems and rashes.
But making the cabin warmer or cooler requires using small buttons that you have to seek out visually.
Addressing this question requires using a sufficiently sensitive method to collect subjective reports.
The focal distance can be increased by positioning the detector farther from the collimator, but this requires using larger detectors.
Ironically, as computer-aided cheating increasingly pervades chess tournaments (with accusations reaching the highest levels), the main detection device requires using another computer.
