No that will not work it will only get worse and blow the seal on the dip stick tube and then the fuel pump if it has one.
If you need to use the mower disconnect the breather tube.
Block off the hole in the filter housing then run some more hose on the breather to a catch bottle which will slowly fill up with oil.
Check the oil, if it smells like fuel then the oil must be changed .
Failure to do this will destroy the engine very quickly.
It is all of 2 to 3 hour job if you have never done one before.
Whip the blower housing off ( 4 bolts )
Undo the tip handle and stand the mower on its back so the cylinder is pointing up.
On some mowers you need a weight on the handles to stop them falling over.
Undo the two bolts holding the carb manifold to the head, leave the carb attached to it and move it out of the way.
Leave the muffler in place undo the 8 or 9 bolts holding the head in a criss cross pattern
Assembly is the reverse.
Dont have to do it in one hit.
1/2 hour after dinner over 3 or 4 nights.