Well it depends on why you take aspirin and how often and what dosage. It's just a warning that can be overlooked. But if you take aspirin everyday at considerable dose well then you have more concerns but you should not worry about taking aspirin to relievve headache, pain or fever. See, the interaction is something we call a synergistic effects with aspirin antiplatelet effects augmented by inhibition of platelet serotonin uptake.
Anyway caution advised.
M4
All ssris potentially cause an increased risk of excessive bruising and bleeding when taking any NSAID, not just aspirin. On the other hand, don't know how common it is. I've never had a problem. I think it's more of the watch out caution than the don't do this caution.
Aspirin is a blood thinner but you would probably have to take large amounts to get a bad reaction, I don't think a couple would hurt you. I took prozac many years and had absolutely no bad reactions...actually it helped me many years until my body began to metabolize too quickly and it lost it's ability to help any longer. I think you will be okay.