Human trials need to be minimum 2 years, and can take up to 10 years to gather and be confident in the data. There has been one short phase, there are normally 3 phases, and often 4.
Basically, the rushed vaccines that are going into people now ARE the human "trials". No matter how much money you throw at something, you can't buy time. 2 months of human trials are not nearly enough time to see effects of the vaccine that can affect people.
I say this as the UK has advised that due to severe cases of allergic reactions, "Resuscitation facilities should be available at all times for vaccinations. Vaccination should only be carried out in facilities where resuscitation measures are available."
Potential Pfizer COVID vaccine allergic reactions should not make public "anxious"
I am not an anti-vaxxer, I am just concerned for the public and am not interested in being the Guinea Pig for this global experiment.