The midfielder picked up his fifth booking of the campaign to trigger a one-match ban as the Sky Blues thrashed Walsall 5-1 last weekend.
Baker has scored six goals in his last seven appearances, including a brace against Walsall, and will be a big miss for Mark Robins' side. John Fleck and Adam Barton are in line to replace him.
The Sky Blues, who have lost just one of their last 10 games in all competitions, are also without on-loan striker Callum Ball, who chipped a bone in his foot during training.
Striker Callum Wilson and midfielders Conor Thomas and Conor Henderson have all returned to training following injury but are not expected to make the trip to Yorkshire.