I dont know, maybe its conflicting sources. I am merely basing my statement on what my dad (who insures that kind of industries) told me : that we will run out of our main uranium deposits more or less at the same time we will lose all the remaining oil deposits. Will have to check that statement, ofc. *shrugs*
This was new to me, so I did check (with Wikipedia, the absolutely most accurate and scientifically peer-reviewed yadda yadda source ever):
http://en.wikipedia.org/wiki/Uranium_depletion lists a number of sources for possible uranium depletion, those being pessimistic at 2040ish (assuming no increase in percentage of nuclear power sources, could be as low as 2013 if this increases *har har*) to 2070ish, and optimistic "we'll likely find better ways to extract it soon" between 2100 and up to 47k years.
As with oil, there is no actual "hard limit" in the strict sense for uranium - the question is how much money you are willing to pay to get it (huge quantities in the ocean, but requires more effort to extract, i.e. over twice the current price).
As for oil,
http://en.wikipedia.org/wiki/Predicting_the_timing_of_peak_oil lists a number of sources, with pessimistic sources going for 2013-2015 and optimistic ones 2020-2030 (or, if you believe some OPEC spokespeople, "centuries").
There is a difference, though - "peak oil" is not the point of depletion, so you can add a few years to that (using last reserves etc.). Even so, I'd say publically available sources support oil being a problem before uranium, though not by that much.
(Fascinating. I didn't know uranium was a non-renewable resource. Thanks for making me read this stuff :-))