Gomes has endured mixed fortunes at White Hart Lane since moving to London from PSV Eindhoven in 2008 and has recently come in for criticism from some Spurs fans.
The keeper made high-profile errors in both legs of the Champions League quarter-final against Real Madrid, then gifted Chelsea a goal in their last Premier League outing by allowing a tame Frank Lampard shot to squirm under his body.
Redknapp though claims he has not considered replacing his current No.1.
"I’ve never thought about getting rid of him,” said the manager in The Mirror.
“He’s looked fine in training this week.
“He’s made a couple of mistakes, but it’s up to Gomes now to come through that. It’s up to him to come out and have a great game and play well.
"You need the crowd to support him now, you need everybody. What I don’t want to hear against Blackpool is, when he makes his first save, ironic cheers or something. It doesn’t help the boy’s confidence, it doesn’t help the team or any of us.
“A lot of it is fun, but it doesn’t help. Hopefully it won’t happen tomorrow. It makes everybody edgy.
“Gomes is a great character and a top goalkeeper. We need everybody to stick with him now, not just suddenly turn on him.
“All he needs is a little bit of support. He’ll come back. He’s made saves here that have been unbelievable.”
After defeat by Chelsea in their previous game Spurs look set to be involved in next season's Europa League, a competition which a frustrated Redknapp admits has its drawbacks.
“It’s difficult playing every Thursday and Sunday - it disrupts,” he said.
“Last year we didn’t have European football and we ended up finishing fourth, and that was a big advantage to us.
“If there were teams up there in the Europa League, you’d want to keep them in it because you know it takes its toll.
“You want them to keep winning, like I wanted Man City to stay in it this year because it was every Thursday night, slapping off to places like Azerbaijan or somewhere. That’s what that competition is, it’s a difficult one.”