Tbh with the small bump in wages and the plethora of job openings, I will be somewhat surprised if unemployment falls below 5% soon, as I would have expected more people to enter the labor force and drive the rate up.
Honestly, to piggyback on my prior post and the discussion here, the reason the unemployment rate isn't going down further faster is because of a mismatch between jobs and skills. I think that deflationary pressures would significantly ease if more of the population had college degrees or certifications that matched the requirements for most of the still available jobs. Wages aren't growing in my view partially because of that, partially because of the overhang of debt (student debt, etc). Plus, consumer spending is finally taking off after people spending years paying off their debt and being more careful with spending.
Of course, labor participation is the lowest rate it is since the 1970s for a myriad of reasons (older aging population, maybe, early retirements, etc. I'm not really sure.).