"increasingly dependent on" is correct and usable in written English. You can use it to describe a situation in which a person or thing becomes more and more dependent on something else over time. For example: "The company has become increasingly dependent on its new software platform for success."
She was alone, increasingly dependent on others.
The country is increasingly dependent on high school blood donors.
Q. Aren't you increasingly dependent on acquisitions for innovations?
After her car accident, she became increasingly dependent on morphine.
The company is increasingly dependent on wireless data for growth".
Our economy is increasingly dependent on knowledge.
Our lives are increasingly dependent on ever-changing online systems.
American universities have become increasingly dependent on this cheap labor.
"I realized I was becoming increasingly dependent on alcohol.
Robert Mugabe, whose regime was increasingly dependent on Chinese aid.
The government refuses to invest, so we end up increasingly dependent on China's dictatorship instead.
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK