Baker has been thrilled with the response of the fans since Russell Milton was installed as manager, assisted by fellow club legend Steve Elliott.
Cheltenham are asking everyone attending the game to wear something red and white to show their support as the Robins bid to climb away from relegation trouble and preserve the Football League status is took them more than a century to achieve.
“It’s a huge game against Tranmere Rovers, there is no doubt about it,” Baker said.
“I thought the performance at Accrington last Friday (1-1 draw) was fantastic, but we need to get some wins against the teams around us now.
“The fans will know just how important these games against Tranmere, Carlisle United and Mansfield Town are going to be and they have a massive role to play.
“The players know the fans are right behind them and I thought the backing against Bury for our last home game was absolutely amazing.
“We then took two coach loads to Accrington, which is fantastic on a Friday night and they really supported the team well.
“If we can get 2,500-3,000 home fans on Saturday it will make such a huge difference because Tranmere will bring numbers down as a well supported club.
“We need all the fans possible to make the effort to get behind Russell, Steve and the team.”
Baker said he and the board are doing their bit by stumping up the cash which will allow Milton to bring in experienced reinforcements for what promises to be a nail-biting run in.
“We are speculating if you like, finding money we probably can’t afford to do everything we can to support Russell and Steve to bring in players this week,” he said.
“We need more experience to help us through and a few more people on the gate will make all the difference and when they come, I’d urge them to make plenty of noise too.
“I know our fans will rise to it, cheering us on from the word go and getting right behind Russell and Steve.
“Please come if you can, bring a friend, tell the lapsed supporters it’s a different atmosphere at Whaddon Road now, because it really is.”