umbrella policy on investment property

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Looking for advice / insight on getting an umbrella policy for an investment property. Does anyone know if there is a problem with getting an umbrella policy for an investment property if one does NOT have a primary residence? That is my situation. We recently purchased a home in the D.C. area which we are renting out and will not occupy for at least 2 - 3 years, potentially longer. As such, it is classified as an investment property and our insurance policy on it is a landlord's policy. Liability limit on that policy is $500K, which is the maximum available from the carrier. But this is less than we want / need. Won't feel comfortable without at least $1M. Our broker is checking around but seems to be at least some question about getting an umbrella without having a primary residence. Does this make any sense? I hadn't thought this would be an issue...