Pompey lost three more players to injury in their 2-0 defeat to Tottenham at White Hart Lane on Saturday.
Herman Hreidarsson, David James and Danny Webber did all suffer injury problems in the game.
“I don’t remember this situation with players happening for a long, long time, and I am wondering what is going to happen next,” Grant said.
“However, I don’t want to have an easy way out, when there is a difficult situation, I will fight.
“We will not give up. We will continue playing with pride and be professional until the end.
“If you forget about all the problems this season, how we have played in some games has been amazing.
“This week is the week of the medical department.
“They need to do everything they can because right now I am not even sure if we will have 11 players for the Blackburn game next week.”