No, it does not. You may want to check with your employer. While it won't impact you, it is still good to clear it up.
Individuals and Families
Individuals (employees) do not have to report the cost of coverage under an employer-sponsored group health plan that may be shown on their Form W-2, Wage and Tax Statement, in Box 12, using Code DD.
The amount reported does not affect tax liability, as the value of the employer contribution continues to be excludible from an employee’s income, and is not taxable. This reporting is for informational purposes only, to show employees the value of their health care benefits.
W-2
