The last time Sgt Colin Evans was seen was yesterday morning as he left King's Mill Hospital in Sutton-in-Ashfield, Nottinghamshire.
The 51-year-old had been discharged after receiving treatment for a back and shoulder injury at work.
At this stage there is no indication he was suffering from concussion.
Chief Insp Paul Winter told ITV News Central that at this stage there is no suggestion of foul play, or that there were any problems at home. Although he did confirm that Sgt Evans had been experiencing a stressful time at work.
His wife Magita, and his daughter who lives in Spain, are said to be very distressed at his disappearance and are being comforted by friends and colleagues.
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Rather cloudy on Wednesday, but some bright or sunny spells developing through the day. The odd light shower is also possible.
Variable cloud and some bright or sunny spells, although there will still be a few light showers. Temperatures close to average.
A six-year-old girl has died after being found in an unresponsive state in a Nottinghamshire village.