The Brazilian midfielder was forced to start Sunday's 3-1 defeat at Hull on the substitutes' bench after suffering an ankle strain in the draw with Merseyside rivals Everton.
But, after coming on 65 minutes into the contest at the KC Stadium, Rodgers has confirmed Coutinho will be available to start their midweek Premier League game, if selected.
"Philippe will be fine. He's had no further reaction from the game yesterday," he said.
"He's trained this morning, so all being well he'll be fit."
But Rodgers must wait to see if centre-back Kolo Toure overcomes a hip problem ahead of the Norwich clash.
"We'll assess that in the next 24 hours, but hopefully he should be available," added Rodgers.
Rodgers has now targeted back-to-back home wins against Norwich and West Ham in order to help them climb the table after they dropped to fourth in the table.
The Northern Irishman had targeted a total of 10 points from five matches that started with the 4-0 defeat of Fulham before their draw with Everton and loss to Hull.
"If we get two victories in the next two games that will put us on course for the bigger picture of two points a game," said Rodgers.
"If we were going to lose a game in that run of five, I wouldn't have expected it to be at Hull. That's no disrespect to them but this was a game where we should come and do much better.
"But it's the bigger picture we need to reflect on. It's now a massive game against Norwich and we must focus to get the points in that game.
"Anfield has been a really good place for us this calendar year so we need to get over this and get three points on Wednesday."