"steadily high" is correct and usable in written English.
This phrase typically describes a situation that remains consistently at a higher level over a period of time. For example, "Sales of the product have remained steadily high since its launch."
Though reassured by his steadily high poll numbers, aides to Mr. Clinton are uncertain about how long this approach will work.
Even though housing prices have been rising recently, the improvements won't rouse consumers until they remain steadily high for a longer stretch, according to analysts.
A CNN spokeswoman said traffic to the oil spill camera feeds was "steadily high" until mid-June, when it dipped somewhat, "and then picked up again big time this week," some 345 percent over the previous 30-day average for all live video on CNN.com.
The research firm found that Android brand loyalty has been remaining steadily high since early 2016, and remains at the highest levels ever seen.
Buoyed by low interest rates, rising home prices and impossible-to-resist rebates, U.S. car sales have held steadily high, near 17 million units, since 1999.
"With an improved fiscal environment and steadily high commodity prices, it is reasonable to assume that we will see an expansion on the exploration campaigns started during the last quarter".
The control systems are required to supply steadily high-quality steam against disturbances due to unexpected changes in load.
Yet overhead costs have marched steadily higher.
They are unconscionably high and getting steadily higher.
But as he spoke, Herbalife shares ticked steadily higher.
Some banks instituted a tiered penalty system, charging customers steadily higher fees as the overdrafts mount.
