The 41-year-old made his return to the club this week after two previous spells as a player.
Having enjoyed plenty of success on the pitch, Wellens is looking to continue his development as a manager by putting down roots at the Keepmoat.
“Hopefully the owners have got it right and I can find a home here,” he said.
“I’ve not had a full season at the same club because of Covid or other reasons.
“Ideally now I’m looking for a home.
“This is a football club where I developed hugely as a player and hopefully it’s a club that will help me continue to develop as a manager.
“I desperately wanted the job because it’s a very stable club that is run the right way.
“The fan engagement is important and we can start building the club up to where it used to be.
“The list of managers that have been at this club - Sean O’Driscoll, Darren Ferguson, Grant McCann and Darren Moore - have been successful and I want to continue that.”
Wellens began his managerial career with Oldham Atheltic in 2017 before guiding Swindon Town to the League Two title in last year’s Covid-curtailed season.
He moved to Salford City last November but was sacked after 30 matches, leaving him keen to get his teeth into a long term project.
“I’ve not really started in management,” he said. “I’ve not had a full season at a club.
“Although I think I’ve shown potential, that’s all it is for me at the moment.
“I want to grow and I want a really good home where I can spend a long time at a club and see that project through to where it takes me.
“I want to build a club.
“I was in the middle of that at Swindon but Covid came and different situations that made it difficult to carry on.
“But I want to build a club.”
Wellens, who is understood to have signed a one-year rolling contract with the club, will be assisted by former Republic of Ireland striker Noel Hunt at Rovers.