Leon Clarke's first-half strike put Wolves into the FA Cup fourth-round draw at the expense of Plymouth.
Wolves dominated the opening stages with Paul Ince and Kenny Miller both denied chances by Plymouth's defence.
The pressure finally paid off after 26 minutes when Clarke diverted Colin Cameron's cross into the bottom corner.
Paul Wotton and Akos Buzsaky came close to equalisers but were kept out by Wolves keeper Stefan Postma as Glen Hoddle's side went through.
Mark Davies, returning for Wolves along with skipper Ince, was a key figure in midfield and flashed a right-foot shot from the edge of the area early on.
Ince saw his thundering 30-yard drive pushed away by keeper Romain Larrieu before Miller's goalbound header was cleared by Mathias Doumbe.
Clarke's goal rallied Plymouth and Wotton was unlucky to see his long drive held by Postma while Buzsaky hit straight at the keeper on the stroke of half-time.
The Hungarian saw another good chance whistle over the bar after the break.
But both sides soon saw chances dry up and, despite the introduction of new signing Denes Rosa for Wolves and Plymouth striker Scott Taylor, the match petered out in lacklustre fashion.
Wolverhampton: Postma, Ross, Lescott, Gyepes, Kennedy, Seol (Cort 73), Ince, Cameron (Rosa 80), Davies, Miller, Clarke.
Subs Not Used: Edwards, Anderton, Ganea.
Goals: Clarke 26.
Plymouth: Larrieu, Connolly, Doumbe, Aljofree, Norris, Barness, Buzsaky (Taylor 69), Capaldi, Wotton, Hodges (Djordjic 69), Evans.
Subs Not Used: McCormick, Lasley, Zebroski.
Ref: M Thorpe (Suffolk).