Get a pair of long nose lock jaw pliers
Clamp the fuel line then remove it form the carburettor.
pur the end of it over a bowl & remove the pliers
You should get a strong flow of fuel the full size of the hole in the then fuel line.
If necessary, clamp the line , fill the tank and repeat.
If the flow looks restricted then there is a blockage in the fuel line.
Some Tecumsehs have a filter on the outlet tube in the tank, others don't.
However over time debris like grass clippings build up in the tank and can plug the outlet.
Next is the float needle & valve.
It has a small rubber ring at the bottom that gets soft & can get sticky preventing the fuel flowing through the carb.
Full details and good photos can be found here
http://outdoorpowerinfo.com/repairs/#id_tecumseh
Replacing the valve & seat is a routine maintenance job which is why it is rubber.