Honda Motor Co. expects to recall vehicles with potentially defective air bags, a move that could expand a massive, multicompany air bag recall by more than 1 million cars, according to a source with knowledge of the matter.

The recall involves faulty air bag inflators supplied by Takata Corp. and would follow a similar move recently by Toyota Motor Corp. The Honda recall should be announced by the end of June, according to the source, who declined to be identified.

Honda, while waiting for further information from Takata on its inflator problems, is also investigating on its own how many vehicles it may need to call back and where they are, according to the source. The number of vehicles it recalls could exceed the 1.135 million vehicles Honda called back globally last year, the source said.