Wood joins Przemysław Płacheta, Joe Allen and Kyle Naughton on the treatment table for the clash with Leam Richardson’s rock-bottom Millers.
“It is not something really bad, with Woody [Nathan Wood],” said Williams in his pre-match press conference.
“There is nothing major on the scan, but there is something there stopping him from playing how he wants to play. I think it will be a short-term injury.
“Shemi [Przemysław Płacheta] has had a minor setback, so he has had a re-scan and we are waiting for more information.
“It’s a shame as we felt we had a good grasp on the plan to help him get back, but it might be longer than we expected.
“He has played some great football for us and has shown a lot of commitment to the team and the club.
“It will be difficult for Kyle [Naughton] to get back before the end of the season. He is a very talented player who has given a lot to the club.
“I was very happy with his performances when he played, he was excellent, and he is a top person with a top mentality.
“With Joe [Allen] we will have to play it by ear as time is ticking away, and we need to make sure he is completely recovered, it would be irresponsible to do otherwise.
“If he is healed and has training time then good, but we will need to see.
“There will be opportunities for people [to come into the side] but that depends on how they do in training and if and when they are on the bench do they provide a good supporting role.”

Although already relegated to League One next season, Rotherham will be looking to end their campaign on a high note.
Without an away win since November 2022, the odds will be in the Swans favour of picking up back-to-back victories for only the third time this season.
Williams believes though that the unpredictable nature of facing a team recently relegated can make his side’s opposition a dangerous prospect.
“It is more difficult to predict the mentality of the team [once relegated] and the idea of the coach because they are going to want to finish strong and look towards next season,” continued Williams.
“You might want to change a few things now; you can get things wrong now because you don’t have to worry about making a mistake when experimenting.
“We have to prepare ourselves as best we can so whatever the opposition throws at us, we have an answer.
“It is the big challenge now [backing up the win].
“It was a similar performance [against Stoke] to the Cardiff game in terms of intensity, energy and aggression.
“I think we managed to play some decent football in there as well. A clean sheet, three goals – there was a lot to like about that.
“If we can perform like that more frequently then we will start to create an identity for ourselves.
With just four games left in the season, several players are facing uncertain futures at the Swans this summer in what looks like a busy off-season for the club.
Whilst much talk has been raised around the out-of-contract contingent nothing has come to fruition in terms of renewals. Despite that has been the case so far, Williams revealed that things are progressing.
“We are having discussions [over contracts], but we are not far enough down the road for anything to be announced, but plenty of discussions and trying to map things out,” explained Williams.
“We have to have a structure and balance in the squad. For that, you need a mix of senior players, a core group of players that are probably approaching their peak, and young players with a point to prove that they are ambitious, but maybe can’t play every minute.
“To do that we need to think about every single player, whether or not they add to us overall. Whether they balance the squad correctly and whether the contract makes sense and fits into the structure.
“There are a lot of things that go into that and selecting the right players, and we want to do it thoroughly.
“All these factors and decisions are getting closer. I think though we need to concentrate all of our efforts on the game, and then we have a longer week next week to look at things.”
[Lead image: Swansea City FC]