Marvin, who co-hosts the show alongside Emma Willis, was asked about why stars of the show fail to make their mark on the music industry in comparison to contestants on The X Factor.
"The great thing about The Voice is that everyone is an incredible singer," said Marvin on Alan Carr's Chatty Man Christmas special.
"Yeah, fair enough, we haven't had that worldwide phenomenon star yet but I think this year we're hoping that with the constants we've got - there's a few that are going to be in the finals that we know can definitely be that person."
The Voice returns to BBC One in January for the final time before moving to ITV in 2017, but former JLS singer Marvin said the show has had success stories.
Marvin explained: "Even Stevie, who won last year, he is an incredible singer and he came back and sung for us a few weeks ago and his new album comes out in January, he went to number one in Scotland and number six in the UK, so I think there is still time for him to grow as well.
"And Becky from series one, she had a number one record, so we have had success but we just need that global success."
Alan Carr's Chatty Man Christmas special - 9pm, Channel 4, on Friday 25 December - Christmas Day
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