A farcical situation ensued after Poland insisted that the stadium's roof stayed open on Tuesday afternoon despite torrential rain hitting the capital, making the pitch unplayable hours before kickoff.
Hodgson told the Football Association's official website that the ground staff must act quickly to get the pitch in a playable condition.
He said: "A 5pm kickoff on a Wednesday afternoon might be more difficult for them.
"I'm rather hoping they'll get the roof closed as quickly as possible and start to do some work on the pitch because at the moment it is in a very poor condition.
"The water is lying on the surface and it's going to need a lot of attention if it's going to be playable tomorrow afternoon."
England will play the Poles at 4pm UK time tomorrow to allow the waterlogged pitch to be drained and made playable.