ExxonMobil is signaling it will post stronger results during the third quarter because of higher commodity prices, while rival Shell plc also is expecting rebounding profits but lower LNG output because of scheduled maintenance.

In Form 8-K filings with the U.S. Securities and Exchange Commission, the integrated majors outlined their projections for the third quarter, which ended Sept. 30. ExxonMobil’s results are scheduled to be issued on Oct. 27; Shell is planning to unveil its report on Nov. 2.

Both of the companies have massive amounts of cash following years of financial discipline and improved commodity prices. To that end, rumors were swirling that ExxonMobil was near a deal to buy Permian Basin stalwart Pioneer Natural Resources...