If you look at the long term data there you will see that its not really necessary for the USD to do anything for the price of oil to fall back to $60.
The link between the USD and the price of Oil, historically shows that the USD is not a critical component in the price movements of oil.
Infact the USD Index is already back to the same value it was when Oil was trading at $50
In US Dollar Index terms, Oil should be currently priced at $50