Solid Core Interior Door leaning

The door for my laundry room has a significant lean because we keep the door open 95% of the time since that is also where the dog food is. We usually only close the door during parties where we have the dog locked in a spare room.

Because of the weight of the door, it appears to be pulling the Hinge jamb inwards. As a result, the knob is just underneath the strike plate.

If I were to lift the door to the proper height then screw the hinge jamb to the frame, would this be the best way to correct the alignment? Is there a better solution?