Obamacare may finally be in full swing, but most Americans are still going to be paying more for health care.

Health care premiums for large employer-sponsored plans are expected to rise by as much as 7%, compared to a roughly 3.3% increase in 2013, according to an analysis by Aon Hewitt.

Average employee costs, including premiums and out-of-pocket expenses such as co-pays and deductibles, are expected to reach nearly $5,000, an increase of almost 150% from a decade ago.

"We've seen that consistently year-over-year, more and more of the cost is being shifted to employees, something we expect to continue going forward," said Geoffrey Kuhn, a senior vice president at Aon Hewitt.