World opinion about the dollar sways the trading rate. That is, as the confidence of other nations about our economy decreases, so does the trading value of the dollar in relations to other national currencies.
One of the major factors affecting that confidence is U.S. national debt; which doesn't seem to have an end in sight. As the interest payments on current loans become larger and larger percentages of the national budget, the economic opinion of other nations will continue to drop.
So, in a nutshell, no, the dollar will probably not rise much (if at all).