FedEx Corp. will start handing off some of its Express packages to its Ground division for last-mile delivery, bringing the two operations closer together as the company struggles with the surge in e-commerce shipments.

The company said it will redirect slower residential Express packages, such as two-day deliveries, to the Ground division once they get near their destination. It will start with packages that originate in Greensboro, N.C., and expand to other markets in April, according to an internal memo reviewed by The...