No.
The money that your partner's company is paying for your insurance is treated as if it was income to him; as if he got a raise that was then used to pay the insurance. This is the IRS ruling because it is a money benefit that your partner gets for working there that does not qualify for special tax treatment under the law. (He would equally be taxed if he were allowed to use a work-owned car for personal purposes. Any money benefits you get for working are taxable unless they fall into a legally defined tax-preferred benefit arrangement.)
However, if you get married, then you can be added as a spouse, and health care premiums for spouses are not subject to the same imputed income tax. The imputed income should stop as of the date that you are removed from the health plan as a DP and added as a spouse. Normally, employees can only change their health plans during the "open enrollment" period once a year, but a marriage is a qualifying event that allows you to make a change outside the open enrollment period, as long as you notify the benefits office within 30 days of the qualifying event.
