The Hammers have not scored in the Barclays Premier League since a 2-0 victory over Cardiff on the opening day of the season, with Andy Carroll's heel injury also costing Allardyce his main forward.
Everton visit Upton Park on Saturday and if the hosts fail to break their collective duck Allardyce may use the idea of handing a player a DVD of his personal goalscoring exploits.
"We have always had ideas and given players their own goals in their career to watch," he said.
"If they are a scorer it's good to go back into the past and see their own goals to a bit of music or something like that.
"You have to continue to practice the right way too as that will always give you the confidence to take that chance when it presents itself.
"You are always looking at how many goals your team is capable of and the sharing of goals is very important to us.
"At some stage in his career Andy Carroll will be capable of 20 goals a season if he carries on what he has built up to in his career up to now.
"Kevin Nolan scores goals and the rest of the team scored lots between them last years in ones, twos and threes. That meant that even though Kevin was our leading scorer with 10, we got sufficient amount of goals to finish 10th."
But, despite a yearning for a more clinical approach, Allardyce will not be haranguing his squad and instead will give his players time to naturally rediscover their goalscoring touch.
"We're looking for players to accept responsibility whoever they are and when they get a chance to put it in the back of the net," he added.
"The idea is not to put too much pressure on the players and not to go on about it as it creates more anxiety.
"You take chances from the subconscious state not the conscious. If you start thinking about it you will miss. You have to do an instinctive reaction."
With Carroll sidelined the main responsibility for scoring will fall once again upon the shoulders of Modibo Maiga, who has not scored for the Hammers since December.
Mladen Petric was signed on a free transfer two weeks ago but Allardyce does not feel the former Fulham man is fit enough to warrant a place in his match day squad for his 99th game in charge of West Ham.