Methods, apparatus, systems, and articles of manufacture are disclosed. An example apparatus includes a packet analyzer to determine that a first virtualized server is preparing to migrate to a second virtualized server based on a data packet, a packet flow path generator to identify a set of network switches between the first virtualized server and the second virtualized server when the first virtualized server is in a different rackmount server than the second virtualized server, and a policy adjustor to adjust a policy of one or more network switches in the set to prioritize a packet flow corresponding to the migration.