In that scenario, it would be more than a week. If there's a game 7 in either SA/UTH or LAC/MEM, it will be played on Sunday May 13. The earliest the league would conceivably start the conference semifinals in that scenario is Tuesday, May 15.
The downside to that is rust. The upside -- potentially -- is that when the second round Game 3/Game 4 back-to-back comes up, there will be a bit less wear and tear on the team that finished early.