Gillot said that he was pleased with how his side performed in the second half of the 0-0 draw with Reims on Wednesday night.
"We were very bad in the first half and then very good in the second," Gillot told Ligue1.com. "We deserved to win the game based on our second half, but we came up against an excellent goalkeeper.
"We didn't play at all in the first half and we had to do something to change that. I sent on Cheick Diabate to try and get us to play through him and off the second balls.
"To win games, you need to perform for 90 minutes. We are not winning games and so we are in the relegation zone. My staff and I will not give up. There is no big drama and we will change certain things."
Bordeaux have not won in their last four league games.