Well, you've just discovered why I keep recommending seperating the router box from the wireless access point and NOT buying a conglomerated package. The router wants to live where all the wires come together which usually means on the floor under the desk. The access point (radio) wants to live as high a possible (on a bookshelf) to maximize the coverage area. It's kinda difficult to have it both ways in one package. Methinks you'll find that the coverage from the floor is awful. At least get the antenna up to mid window level.
Your unspecified model Linksys wireless router *MAY* have two removeable antennas. So do, some don't. If yours does, then you might consider adding an external panel (patch) antenna and point it towards the patio area. Your floor level antenna will take care of anything around the desk, while the external panel antenna will cover the other area of interest.
If you do this, there will be a possible complication. If you have one computah connected wirelessly via one antenna, and another connected via the other antenna, file transfers between the two machines will be slow and erratic. Otherwise, such a dual antenna arrangement will work normally.
See: