Salisbury are left hovering perilously over the drop zone after consecutive home defeats against Chelmsford and Worthing
Worthing grabbed the points in the latest 2-1 result, having been behind at the break.
Whites manager Nick Holmes said: "The second-half performance was poor but unfortunately supporters remember that rather than our adequate first-half showing.
"We have taken no points out of the last six and this puts us in a poor position. We know where we are lacking and we will try to put it right by getting somebody in or doing whatever it takes to help us but it's no good going out and getting people for the sake of it. They have to be better than what we have already. These are the same players that turned Yeading over and played very well and it really is a state of mind with them.
"Once they get a goal ahead they seem to think they should hang on and they play in fear of conceding rather than playing positively to score more goals.
"Then, when they have to go and force the game they are not able to do it. After we went one up and Kevin Sawyer pulled off that superb penalty save, someone then had to be strong enough to get at Worthing - maybe we are going to have to find that person."
Salisbury had the majority of first-half possession and restricted Worthing to very little, while Adam Wallace and Wayne Turk had chances to open the scoring with Wallace going closest of all with a diving header on seven minutes.
On the stroke of half-time, however, Whites led when Davies delivered a pinpoint corner to the near post for Leigh Phillips to power a header past Mark Ormerod.
Worthing, rather than Salisbury, were stunned into action at the beginning of the second half as they put the Whites under pressure and should have equalised when Kevin Sawyer brought down Sam Francis in the box. However, Sawyer performed miracles to keep out Stuart Holmes's spot kick as Whites breathed again.
Continuing pressure saw the visitors equalise on 70 minutes when a needlessly conceded free-kick on the edge of the Salisbury area saw Chris Dicker fire the ball across goal for Francis to finish.
Substitute Robbie Matthews gave home supporters hope when Ormerod was forced to produce his best save of the day in keeping out a well struck effort, but that hope was extinguished seconds later when Francis worked his way into the Salisbury box and was given time and space before squaring the ball across goal where Lee Charles opened his Worthing account with a 78th-minute winner.
Manager Holmes concluded: "After the game we all sat down and talked about what needed to be done, but I think it is a mental state that is causing our players problems. They must learn to be positive in their game."
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