Forest were in control for much of the game and Radoslaw Majewski's 27th-minute goal did the damage, with the midfielder applying the simple finish after a fine run by Simon Cox.
The win ought to have been more comfortable as Cox, Majewski and Dexter Blackstock all had chances to extend the lead, but Davies' men had to settle for one. However, it was their third success in a row and leaves them four points shy of the play-offs going into the run-in.
For Wednesday, who rarely tested the Forest goal and put in a limp performance, it was the end of a seven-game unbeaten run, and despite their recent form they are still in a relegation dogfight, sitting just four points above the drop zone.
Forest bossed matters from an early stage. Henri Lansbury flashed a 25-yard effort just wide of Chris Kirkland's post and Andy Reid drifted a dangerous free-kick inches wide with Danny Collins just unable to make contact.
The visitors thought they were ahead in the 25th minute when Blackstock headed home, but he was adjudged to be offside.
However, they did break the deadlock when Reid fed the striker and he went on a jinking run, ghosting past some non-existent defending before squaring for Majewski to slide home into an empty net.
It could have been even better for the visitors soon after as only a sublime intervention from Anthony Gardner prevented Cox from converting Reid's searching centre, before the Republic of Ireland front man then dragged an effort wide.
Wednesday offered little by way of a response, much to the chagrin of a discontented home crowd, with Leroy Lita's tame effort from distance the only time Karl Darlow was called into action in the first half.
In the second half, Majewski fashioned a chance but dragged his shot wide from 16 yards while Blackstock could not make proper contact with a header from Cox's cross. Dave Jones' men did at least pile the pressure on in the final 10 minutes, but Forest stood firm and marched to a third straight win.