The Internet is based upon routing and routed protocols. Routing protocols adjust routing information to reflect current routes. Routed protocols move packets from point A (Florida) to point B (Texas). As routes come and go, the routing tables of routers are updated so that your packet will always (theoretically) get there even if the routes available happen to change.
Until the ‘cost’ to send your packet through its current route (viewed with tracert/traceroute) is no longer lowest, your packets should always be routed via that path.