Add Michael Dell to the list of planned customers for Boeing Co.’s 787 Dreamliner potentially affected by the outcome of the plane’s current troubles.

Michael Dell. Reuters

The personal-computer tycoon has a deal to get a Dreamliner BA, +2.42% through the International Lease Finance Corp. unit of insurer American International Group Inc. AIG, +4.05% , according to two people familiar with the situation. One of the people said Dell, who serves as Dell Inc.’s DELL, +0.40% chief executive, is scheduled to buy the plane from ILFC, the world’s second-largest aircraft-leasing company by assets after the GE Capital Aviation Services unit of General Electric Co. GE, +10.65% and the largest buyer of 787s based on number of planes ordered.