If it's a new swap but a used engine I don't think you would have that much problem as long as you have proper amounts of oil and oil pressure and are not overheating. Now if you have rebuilt or gotten a new engine in your car and you run it hard without a break in then you could have trouble with rings sealing and cause oil consumption issues. I could be wrong but a swap that already has xx,xxx miles on it should be ready to roll as long as you are running the proper ecu and A/F ratios are good and the afforementioned things, oil/press., temp.