The actors will take breaks from their filming commitments to take part in the jaunt, which kicks off in Newcastle on April 13.
Wolfenden, who is partnering Nina Ulanova on the skating talent show, is one of the bookmakers' favourites to win this year's crown.
Whyment, who is famous for playing Kirk Sutherland in Corrie, has been one of the surprise success stories in this year's series, surviving a double elimination in last night's live show.
2011 champion Sam Attwater, Sugababe Heidi Range and Chico were the first star contestants confirmed for the tour.
Speaking on This Morning today, Range outlined her desire to stay fit following her departure from the skating reality show last night (February 19).
"The pressure is on to keep it off now, isn't it, for the tour," she told hosts Philip Schofield and Holly Willoughby. "I can't wait, I'm really looking forward to it and it's going to Liverpool so I get to skate at the Echo Arena."
Meanwhile, diet guru Rosemary Conley confirmed on Twitter this afternoon that she will not be joining the tour. She exited the show on Sunday (February 12).
The 64-year-old told followers: "Just heard today that I haven't been included in the @DOILIVETOUR which is a shame. I would have loved it but it was not meant to be.:-("
Olympic skating duo Jayne Torvill and Christopher Dean train and choreograph the show as well as perform exclusive routines.
The three-and-a-half-week tour also visits London, Manchester, Nottingham, Sheffield, Birmingham, Liverpool and Glasgow.
Tickets can be booked on ticketzone.co.uk or dancingonicetour.co.uk.