Despite the loss, Gibson believes that Everton will be stronger for the showdown at Wembley after they beat Sunderland 1-0 in the quarter-finals.
"I was at the derby and it was disappointing," said Gibson. "Now we've got to forget about that.
"It will be a different prospect for them, as [we will have] probably our strongest side. We had worked all week on our game plan, pulled it off and played really well at Sunderland."
The two Merseyside clubs meet for a place in the final on Saturday, April 14.