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The Lions have found the net just 16 times in 19 games this term and the lack of a cutting edge was never more obvious than during the 0-0 draw at East End Park, which lifted the West Lothian side off the bottom of the table.
Gough hopes to bring in at least three new faces after the window opens at the weekend but concedes there is a shortage of goalscorers on the market.
He said: "I would love to get in some forward players. If you look at our performance against Dunfermline you can see we are crying out for someone who can put the ball in the net.
"I’ve had a million defenders and a million midfielders offered to me recently but not too many strikers. Scoring goals is not an easy thing to do and that’s why strikers get paid the most money."
One of Gough’s first moves after taking over from Allan Preston was to appoint Ewan Chester as the club’s chief scout.
Gough knew Chester well from his playing days at Rangers and admits he has helped in the search for fresh talent.
He continued: "Having Ewan Chester on board helps in terms of contacts and we are compiling a few names together. He knows a lot of people both at home and abroad and he knows where to look for players.
"We haven’t got the finances to spend lots of money but I want to bring in between three and five players to freshen things up.
"We’ve a list of so many players who are seemingly great - at least according to their agents.
"I need to ask myself why all these players don’t have clubs if they are so good."