Random generator without repeated result

I need to put the numbers from low to high in an array randomly.

For example given: low = 10, high = 15 a result like [ 12, 13, 10, 14, 11] is good.

This is a simple algorithm: iterate from low to high and try to fill in the empty slots on an array.

const low = 1000
const high = 1010

const diff = high - low
const arr = new Array(diff)

for (var i = low; i < high; i++) {
  let success = false
  while(!success) {
    const index = Math.floor(Math.random() * diff)
    if (arr[index] === undefined) {
      arr[index] = i
      success = true
    }
    console.log(`${index} was ${success ? 'available' : 'taken'}`)
  }
}

console.log(arr)

The problem is: in the end where most of the elements are filled, it is harder to find an unoccupied slot in the array.

My question is: is there an algorithm that constantly generates unique new numbers until all the numbers are consumed?