If you have room for a rug that is 4 feet wider and longer than the table, yes. You may need an even larger rug because of the style of your chair bottoms. What you are supposed to have is 24" all around for chair scoot and sit space, but your chairs are going to require more rug than that to comfortably sit on. You might be better off to add the rug in your living room.

Your room looks great. The main thing I question is the little lucite table that doesn't seem to be helpful to either chaise. Think about two very small tables that would actually serve the purpose of holding a drink for the chaise sitters.

Couldn't find any pics.

Your room looks nice. I suggest removing the little box under the side console. It's too small. You could put two small ottomans under there or nothing at all. A rug would be nice. Next to each chaise consider Eileen Grey side tables.