The England international, who has started every league game this season, was substituted at half-time.
After the game, Arsenal boss Mikel Arteta said Rice had “discomfort in his back” and hoped it was not long term.
Rice, a £100m summer signing, was not expected to be in Arsenal’s Carabao Cup squad to face Brentford on Wednesday.
But the 24-year-old could be in contention for their Premier League match against Bournemouth on Saturday.
Arsenal are fifth in the Premier League, four points behind leaders Manchester City.