"It's obviously been a disrupted period for us these last couple of weeks, but there was a lot of emphasis against the Ospreys on trying to build on what we did against Exeter in our last game before the lay-off," said Steyn in The Scotsman.
"The fact there wasn't any fans there, as well, made it a bit different. But I think we did well to adapt, and it was a good win for us in the end.
"We got some decent time with ball in hand, and also had to make some important defensive sets, so it was a good workout for us before Exeter.
"They're at home and they will be hungry to put things right. For us, it's just about taking the belief out of the previous game.
"That's two positive results back-to-back we've now achieved - albeit three weeks apart - so it feels like there's a bit more consistency around what we're doing now. We're a lot clearer about the type of performance we want to put in and where that minimum standard is. It feels like were heading in the right direction."
A defeat next week at Exeter would not be a disaster for Warriors, but it would pile pressure onto the following weekend's visit of La Rochelle - which would become a must-win match in terms of qualification for the knock-out stages of the Champions Cup.
Sione Tuipulotu put in a powerful display against Ospreys running in two well-taken tries, and Steyn was full of praise for the the Australian-born, Scots-capped centre.
"He's such a great bloke - he's fitted in seamlessly and is making a great impact," said Steyn. "He talks a lot of rubbish sometimes which gets the boys giggling. We make sure that he knows he's talking rubbish... but we all know the attributes he has as a player. He's pretty much got the complete game.
"it's great to see the new guys making such a great impact. The likes of Josh McKay as well, and we were also keen to see big Walt [Tongan winger Walter Fifita] with ball in hand when he came on.
"They are all fantastic players but also fantastic guys to have around in the environment every day."