Do you feel lucky? Drilling holes to press bushings into is unlikely going to result in a proper fit. You need to drill exactly the right size (usually right on some nominal inch or metric dimension), in order for the bushing (which often comes with the correct amount of oversize allowance) to fit tightly enough so it will not fall out. So drilling about 0.5mm undersize, then reaming to the nominal bushing OD would be a safer strategy.
Other than that, a bushing will run for a while, and may suffice for light usage, and you can always replace when required. They are cheap enough.