Not really. It's when the magnitude of an Earthquake hits about 7.5-8.0 where Tsunamis start being produced. I believe a 7.7 magnitude earthquake in Indonesia produced a tiny tsunami (
and was noted to break the threshold of tsunamis being produced by upthrust Earthquakes), but anything below that
USUALLY does not produce a Tsunami. Something else to consider is the direction at which the faults are displaced, given underwater Earthquakes where the fault displacement is perfectly horizontal won't produce a tsunami at all since there is no real displacement of water, you see.
I never put much thought into that tbh. But...
Now that I am putting thought into it, I don't think you have to do that given an upthrust Earthquakes don't produce JUST ONE tsunami: a powerful enough upthrust Earthquake can produce multiple tsunamis given when the fault lines rub against one another upwards, they emit a LOT of radiated seismic energy so much that the seafloor within the proximity of the fault vibrates up and down a lot. And those vibrations are what produce the other waves that follow.
So, unless there is context that points to actually multiple Earthquakes being produced that I am not shown (or completely forgot xd), one doesn't have to do what you suggested.