Ings picked up a knee problem during his debut against Everton following a move from Aston Villa but could be in the squad for the game at St. James' Park.
"Danny Ings is doing quite well, he has got a chance of being available," said West Ham manager David Moyes.
"That is good news for us, but we have got to really assess it and see how he is. We are not quite 100 per cent sure on him yet.
"He is desperate to get back and he was really disappointed he picked up an injury in the first 15 or 20 seconds (after coming on against Everton).
"We hope that he is fine - he is certainly not 100 per cent and we wouldn't be thinking or expecting him to be - but having him around is a big boost and he is an important player for us.
"He was an important signing for us in January. I like him a lot and hopefully he goes on to prove that."
Italian forward Gianluca Scamacca remains out along with defender Kurt Zouma - they both have knee injuries - while winger Maxwel Cornet continues his rehabilitation from a calf issue.
Moyes will not take any chances by rushing Cornet, who has been out since the start of October, into action again too soon.
"Maxi has gone back to France again (for more treatment)," Moyes said. "He is not quite ready yet to step up to training levels.
"We need to bring him on and hopefully get him back as quick as we can. He needs to get a bit more pitch work done. He's doing work in the gym, he is exercising.
"He is not feeling his calf muscle any more and is feeling much better, but if you are asking is he back at 100 per cent yet? No, he is probably 60 or 70 per cent and we are hoping that it won't be too long."
West Ham head to Carabao Cup finalists Newcastle on Saturday looking to maintain momentum and keep themselves clear of the Premier League drop zone.
"The win against Derby was a boost and the clean sheet was good. We got a great win against Everton and want to build on it," said Moyes.
"We have a good side, but we have not shown it as much as we should have done.
"We are getting closer to the business end of the season and the last few games have given us something to talk about.
"Winning is always the key. I would like performances to improve, but at the moment we have to pick up points. Hopefully we are moving in the right direction."