Rovers are currently third from bottom, after their 2-1 defeat to Manchester United on Saturday.
“I am anxious about where we are,” said Allardyce.
“We are in the mire and the only things that will get us out of it are victories and points on the board. Generally, performances help you get that.
“But while we have had consistent performances we have not had a consistent level of points to go with them. That is a big worry.
“The clubs above us are now pulling away. The amount of clubs involved at the bottom is reducing.
“We have to make sure we are not stuck down there.
“We have to keep the faith. We are good enough but we have to be determined and resilient enough as well.”