How much rest the Spurs would get, based off of Grizzlies series outcomes

[Spurs and Mavs fan]

So is the June 6th date set in stone, or can be moved to June 4th if needed like Bruno said?

I hope it's on June 6. That being said, a hypothetical June 4 start date could give the Spurs enough rest while not giving the Heat a very long rest.