Worthing extended their unbeaten run in Division One South to six games after a goalless draw at strugglers Croydon Athletic.
Rebels found it difficult to open up their opponents' defence in a game which had little goalmouth incident.
Worthing, without injured striker Mark Knee, recalled Frenchman Florian Mateos while substitute Andy Alexander played the second 45 minutes in defence.
He came on after Paul Rapps suffered a hamstring injury and Tom Graves was pushed into midfield.
Ben Carrington, scorer of three goals in the previous four matches, had the best opportunities for Rebels and he forced saves from keeper Robert Frankland on three occasions.
Frankland first did well on 28 minutes to smother Carrington's right foot shot from the edge of the six-yard box following a pass by Rapps.
A move involving Chris Hibberd and Graves gave Carrington a shooting chance on the hour but Frankland was equal to it.
Carrington was again denied by Frankland five minutes from time after a good ball by Paul Brown.
Worthing keeper Luke Burton pulled off first-half saves from John Fowler, James Evans and Danny Stassinos on his way to his second clean sheet in nine games.
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