Rice, 27, started in England’s comfortable win over Croatia, but was hooked off midway through the second half by Thomas Tuchel.
His substitution raised questions around his fitness, but Rice is expected to be fit for the game against Ghana.
It’s understood that the Arsenal midfielder has had a back injury for a while now, and it will have to be nursed throughout the tournament.
Speaking after the game, manager Thomas Tuchel said: "Declan had some unusual ball losses and I saw a bit of discomfort.
"And then I asked him, and he pointed directly to his lower back, upper hamstring, that he feels the discomfort.
"I didn't want to take any risks, I hope it's nothing more. Declan just reassured me at the end.
"We will take care of it, and it's nothing big to worry about."