No, we don't. An actual job is what happens when the willingness to pay for labor connects with the willingness to provide it for pay.

What you are seem to be referring to (additional willingness to purchase labor at prices below that that people are willing to accept) is not a surplus, it is is the normal condition of demand (and a parallel thing exists normally with supply, where there are people willing to provide something beyond what is currently being transacted in the market, but at higher-than-market prices.)