Disclosed is a method and corresponding apparatus for management of access probe transmission from a wireless communication device (WCD) to a radio access network (RAN). The WCD determines that a particular coverage area is not the strongest coverage area detected by the WCD, and the WCD responsively transmits an access probe to the RAN in that particular coverage area. For instance, the WCD may define a sequence of access probe transmissions including at least one transmission to just a coverage area that the WCD deems to not be the strongest and further including at least one transmission to just a coverage area that the WCD deems to be the strongest.