As emerges from this previous Stack Exchange question and its answer, viruses in the family poxviridae have the potential to replicate in the cytoplasm because they encode their own DNA polymerases and RNA polymerases.
However, it seems to me that there's a bit of a the-chicken-and-the-egg problem here: DNA viruses needs RNA polymerase to make the mRNA encoding their proteins (including RNA polymerase), but they can't make these proteins without RNA polymerase to transcribe their DNA first!
Viruses that replicate inside the cell nucleus clearly don't run into this problem as they can use the host RNA polymerase already there. But how do viruses that replicate in the cytoplasm solve this conundrum? Do they carry sufficient RNA polymerase in their virions when the enter the cells or is there some other explanation?