O'Hara has signed a five-year contract after a successful loan spell at Molineux during the second half of last season. His goal on the final day of the campaign against Blackburn helped Wolves to ensure a third season of top flight football.
He said: "I don't think we'll have an end to next season like this season. It's going to be our third season in the Premier League and hopefully we can push on and be a force to be reckoned with. It is definitely a club that is on the way up."
O'Hara added: "I want to achieve things at the club. I wouldn't have signed here if I didn't think this club was going to be pushing forward.
"I think it is a club on the up. It is going to be down to the club and the team to make things happen. But I think, with the squad and manager we've got, this coming season we've got to be looking at mid-table and then pushing on from there."
He has become the most expensive midfielder in the club's history, beating the £2.6 million paid for Nenad Milijas to Red Star Belgrade two years ago.
"It's going to be sad leaving Tottenham," said the former England Under-21 international. "I had a great career there and the fans were always different class with me. I'll always support Spurs but it's one of those things. I had to move on.
"The chairman and the manager at Wolves put a lot of faith in me after I had been out for a long time with a back problem.
"I was put straight into the side and to make a permanent move now after a scary end to the season (narrowly avoiding relegation) is brilliant.
"I didn't even ask for a five-year deal. They offered me it. It is fantastic. It shows they wanted me and wanted me to be here for the long haul."
Source: PA
Source: PA