No H1B has ever been deported for not finding a job in 60 days. As long as you don't leave the country and try to re-enter, no one cares.
When I was on H1B and faced that situation, I talked to an immigration attorney who told me how things really work.
Caveat: This was 10+ years ago. I doubt it's changed, but talk to a lawyer if you're concerned. A one hour consultation won't break anyone's finances.
Like I said, talk to a lawyer if you want to know what's really up.