Currently we have a surplus of actual jobs, it's just that a large number of them pay sub-living wages. If those were forced to pay more - even if it meant some of them disappeared - many more people would have the opportunity to climb out of poverty.
Edit: I may have misspoken when I said "surplus". What I was referring to is the very low unemployment rate we currently have, despite large numbers of people - with "jobs" - continuing to live in near-poverty.
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.)
Or we'd see a bump in automation and a reduction in the number of jobs available. When you raise the price of something (labor), corporations will reduce their consumption of it.
Edit: I may have misspoken when I said "surplus". What I was referring to is the very low unemployment rate we currently have, despite large numbers of people - with "jobs" - continuing to live in near-poverty.