The Tykes have taken four points from their last two league matches to crawl out of the bottom three and are currently three points better off than third-bottom Forest with two games in hand.
Malta international Bogdanovic told the club's official website: "This weekend's match against Nottingham Forest is huge for the team.
"We will put a big gap between us and them with a win and three points will go a long way to settling our season in a positive manner.
"We will do our best not to let down our supporters. I know a lot of people will be coming to watch us on Saturday and that is magnificent.
"We performed very well against Crystal Palace and Derby and I'm sure that if we play in the same manner again then we will win the game."