They are not directly linked, but it seems logical that a human born without sin (saved by Christ at the moment of her conception), wouldn't have to suffer death.

"Over the centuries, the Fathers and the Doctors of the Church spoke often about the fittingness of the privilege of Mary’s Assumption. The grounds considered include Mary’s freedom from sin, her motherhood of God, her perpetual virginity, and—the key—her union with the salvific work of Christ.

The dogma is especially fitting when one examines the honor that was given to the ark of the covenant. It contained the manna (bread from heaven), stone tablets of the ten commandments (the word of God), and the staff of Aaron (a symbol of Israel’s high priesthood). Because of its contents, it was made of incorruptible wood, and Psalm 132:8 said, “Arise, O Lord, and go to thy resting place, thou and the ark of thy might.” If this vessel was given such honor, how much more should Mary be kept from corruption, since she is the new ark—who carried the real bread from heaven, the Word of God, and the high priest of the New Covenant, Jesus Christ.

But there is more than just fittingness. After all, if Mary is immaculately conceived, then it would follow that she would not suffer the corruption in the grave, which is a consequence of sin [Gen. 3:17, 19]."