Promotion was clinched by the runway League Championship leader without playing, thanks to Fulham conceding a stoppage-time goal to draw with Brentford 1-1 on Saturday.
Wolves managing director Laurie Dalrymple credits Santo, a former Porto and Valencia coach, with spearheading the team's revival since taking charge previous year.
Wolves, who have 92 points from 42 games, require a further four points from their final four games to win the title but have done enough mathematically to gain promotion. Attention will now turn to clinching the title, with Wolves nine points ahead of second-place Cardiff.
Wolves, who have been top of the Championship since November 18, host Birmingham in front of the Sky Sports cameras on Sunday at what will be a triumphant Molineux.
The Midlanders have led by instance within the Championship this season regardless of irking rivals over their relationship with agent Jorge Mendes.
They now have 92 points with 28 victories and eight draws, with 76 goals scored.
The way Wolves have achieved promotion has drawn criticism, however.
Leeds owner Andrea Radrizzani was particularly vocal in his grievances about their financial dealings following his club's 3-0 home defeat to Wolves at Elland Road in March and these have been looked at by the EFL.