Eligible for health plans of two employers

[waid10]

Hi. We are a health system that recently acquired a small hospital. The hospital still maintains its own employer sponsored health insurance for its employees separate from the employer-sponsored coverage of the health system (this will eventually change). Since the acquisition, we have a few employees that are working part-time for the health system and part-time for the small hospital, but are working enough hours for each entity to qualify for each entity's health and welfare benefits.

How should this be handled? Is each employee simply given a choice of which entity's plans he/she wants to enroll in?

Thanks.