Ideally, a rise in the price of oil, resulting from improvement in worldwide economic conditions, would increase inflation expectations and also pull up long-term interest rates. This could steepen the yield curve, or at least displace it upwards. All other things being equal, bank shares would benefit and their poor performance of the last few weeks would turn around. Even though higher interest rates would penalize a certain number of sensitive sectors, the breath of fresh air for the banking sector would restore some appetite for risk which has recently been lacking.
More realistically, i.e. with an economy well into the expansion phase, there is little chance this series of events would last. It is not even sure they would have the time to develop in the first place, despite some indications to the contrary over the past few days.