As in all answer to this type, IT DEPENDS. There is no fast answer unless you provide more detailed into like modem or gateway? ethernet router or wifi router? which box is currently doing DHCP (somebody must do this job and if the modem can't then who's going do it when you remove the router?) blah-blah-blah.
Lastly unless it bothers you in some way, leave well the dog lay. It's working, don't try to fix it.