There shouldn't be any problem as long as some selective pressure is maintained on the cells to keep the plasmid. For instance, there are many binary vectors which besides a bacterial selection marker, they contain selection markers functional only in eukaryotic cells. If you keep the plasmid only in bacteria under the selective pressure for the bacterial marker, you are not going to lose any of the other plasmid elements or the plasmid itself, for that matter. Unless, of course, those other elements undergo recombination, which is not very common in most of the vectors or cell strains used in Genetic Engineering.
So, in your case, if you keep pressure on one of the selection markers, that should be enough to keep the plasmid in the cell culture.