Despite Ings' absence, Hasenhuettl believes Southampton are not short of goalscoring options - citing midfielders James Ward Prowse and Nathan Redmond's purple patch in front of goal which have helped the club climb out of the relegation zone.
"Danny had made a big step after 20 minutes to the ball and then sprinted and he then had a problem with his hamstring", Hasenhuettl told reporters ahead of the league clash against Cardiff City on Saturday.
Southampton are unbeaten in the league since December but remain threatened by relegation, now sitting in 16th place.
There have been some encouraging signs in Cardiff's away form, with the points at Palace and Leicester coming in their last four trips and a decent showing in a 2-1 defeat at Arsenal last time, but that run also includes a 3-0 defeat at Newcastle. We've had more time to work now and we want to show how we have developed our game.
Danny Ings will not be available for selection for the next two to three weeks, Southampton boss Ralph Hassenhuttl has confirmed.
"We really trust in the team we have here", he said.
After seeing two points blown at fellow strugglers Burnley after conceding a late penalty, Hasenhuttl is determined to tighten up at the back.
'I don't think we're showing we have problems scoring, we have scored in almost every game. We should be focused to have more clean sheets in the future. For the moment, we know that'll take two or three weeks of recovery.
"That costs him maybe two or three weeks to come back, that is not good", Hasenhuttl said at a press conference on Thursday.
"A little bit of feedback is very important for them, and therefore we need a lot of time, but I think they appreciate that and they need that to make their next step and therefore it is ideal to go there and have time together".
Southampton will also be reinforced by the like of Hojbjerg, Yoshida, and Bertrand who are all in contention to play this match.
'Warm weather helps a lot to train technical things because you have to stand a bit longer on the pitch and you are not afraid someone will catch a cold!'
With the re-introduction of Hojbjerg, after he missed the last match with a concussion, the offense will get a spark back and will be more creative and better going forward.