A control device for an onboard engine is configured to control the oil discharge pressure of an oil pump and execute, when determining that there may be an abnormality in the control of the oil discharge pressure, a change process that increases the target discharge pressure to a value that is greater than that before it is determined that there may be an abnormality in the control. When a discharge pressure sensor value in a situation in which the discharge pressure is being controlled based on the target discharge pressure increased through execution of the change process does not become greater than or equal to a discharge pressure threshold, the control device sets an upper limit for the engine rotation speed and increases the upper limit as the discharge pressure sensor value increases.