Wasps chief executive Nick Eastwood is confident the fans will follow the club to Coventry despite the controversial move, reports BBC Sport.
The club announced last week that they will play their home games at the Ricoh Arena starting in December this year, instead of Adams Park in High Wycombe.
The move caused outrage amongst some supporters but there were no visible protests during Wasps 29-22 win over Bath on Sunday - their first Aviva Premiership match since the switch to Coventry was revealed.
Majority will follow
Despite the furore, Eastwood believes a large proportion of fans will continue to support the club and attend matches at the Ricoh.
"I think the majority of supporters will come," he said.
"A number of supporters at the fans' forum said they just can't do it because of work commitments. But most people have said they are coming."
In fact, the clash with Bath attracted Wasps highest crowd of the season so far, but although there wasn't the fan mutiny that some had expected, around 3,000 people have already signed a petition to protest against the move.
Wasps recent financial problems have been well documented as of late, with the club reportedly losing £3m a year at their current home in Adams Park.
With that in mind, Eastwood believes moving to Coventry was the right decision in order to preserve the future of the club, and he thanked the fans for their reception during the victory over an in-form Bath side.
"I'm hugely appreciative the fans got round the team and separated the decision from the playing side of things," he said.
"The only constant in the last 20 years of Wasps' history was a lack of financial stability, and we've ended that now.
"Staying put would have been a one-way ticket to going bust. Once we made that decision, Ricoh was by far and away the best option. It just came down to move or die."
Director of rugby Dai Young also gave his opinion on the supporters, saying that he "wasn't surprised" at the lack of protests.
He said: "One thing that has jumped out at me is how intelligent our supporters are.
"Nobody can doubt their loyalty and passion, but I understood frustrations in the early part of the week.
"I thought the supporters were intelligent enough to react in the right way once everything was explained and outlined fully."