Who will lay him in a tomb

Prophecy

when Jacob heard about his Son Joseph and his position in Egypt, he did not rush to see his son, instead he waited for God's permission - So Israel took his journey with all that he had and came to Beersheba, and offered sacrifices to the God of his father Isaac - Genesis 46:1

When God spoke to Jacob, he finished with three promises - And God spoke to Israel in visions of the night and said, “Jacob, Jacob.” And he said, “Here I am.” Then he said, “I am God, the God of your father. Do not be afraid to go down to Egypt, for there I will make you into a great nation. I myself will go down with you to Egypt, and I will also bring you up again, and Joseph's hand shall close your eyes.” - Genesis 46:2-4

Fulfilment

It may appears as all three promises are fulfilled in Jacob's life, but not completely as Jacob died in Egypt and only his mummified body was buried in Hebron, but all three got fulfilled in Jesus Christ life.

I myself will go down with you to Egypt: And he rose and took the child and his mother by night and departed to Egypt - Matthew 2:14

I will also bring you up again: But when Herod died, behold, an angel of the Lord appeared in a dream to Joseph in Egypt, saying, “Rise, take the child and his mother and go to the land of Israel, for those who sought the child's life are dead.” And he rose and took the child and his mother and went to the land of Israel - Matthew 2:19-21

Joseph's hand shall close your eyes: And Joseph took the body and wrapped it in a clean linen shroud and laid it in his own new tomb, which he had cut in the rock. And he rolled a great stone to the entrance of the tomb and went away - Matthew 27:59-60

This is how the Bible was written by the inspiration of Holy Script, even the name of the person who would bury Jesus Christ is recorded in the first book of the Bible.