They fell behind in the second minute when Redmond poked the ball into the roof of the net at the near post after James Ward-Prowse released Josh Sims on the right flank and the winger delivered a sharp low cross.
The visitors piled on the pressure after falling behind and drew level in the 28th minute as central defender Willy Boly rose above his marker to head home a Joao Moutinho corner, but their joy was short-lived.More news: Uber filing offers glimpse under its hood ahead of IPO
A further goal would have followed, too, had Patricio not instinctively blocked a Maya Yoshida effort.
He produced composed finishes for both of his goals and remained a threat in the second half as Saints sat deeper and looked to hit on the counter. The Molineux outfit must work out how to beat sides like Southampton if they are to continue their stunning ascent. We think it allows us to spend more time together - not only in terms of training sessions but social life.More news: May says MPs have duty to complete Brexit
A number of Southampton players have improved under Hasenhuttl and perhaps chief among those is Redmond. But Saiss was caught napping by Redmond mere seconds into the match.
Wolves remain eighth in the table after failing to bounce back from their painful FA Cup semi-final defeat to Watford. He and his defensive colleagues were pulled out of position time and time again by Sims, Ings and Redmond.
Ralph Hasenhuettl, Manager of Southampton acknowledges the fans after the Premier League match between Southampton FC and Wolverhampton Wanderers at St Mary's Stadium on April 13, 2019 in Southampton, United Kingdom.More news: OH governor signs heartbeat bill
- Wolves have not kept a clean sheet in any of their last 13 Premier League away games - only Arsenal (15) have had, and are now enduring, a longer such run in the competition this season.