The above is from the IMF's recent World Economic Outlook and shows their projection for global economic growth over the next few years. They are currently projecting growth between 3 and 4% as the most likely case with some possibility of both higher and lower.
About eighteen months ago I took a look at then IMF projections - which at the time called for growth closer to 5% a year than 4% - and argued that they were too optimistic. I argued from the oil constraint - the projections implied a level of growth in oil supply that was unlikely to materialize. What we have seen in the interim is somewhat slower growth (especially in Europe, but also in the US and China) with stagnant global trade. Meanwhile oil supply has indeed been roughly flat, keeping prices persistently high, but the global economy is becoming steadily more oil efficient, allowing a certain amount of economic growth without a growing oil supply:
The data here are the IMF's PPP GDP deflated with BEA estimates of GDP deflators and then BP oil production used to produce an estimate of gross world product per barrel of oil.
I think even the IMF's now reduced forecast of 3-4% economic growth is likely to place considerable pressure on oil prices, but 2-3% world growth can probably be sustained at current prices just out of efficiency gains.