Evans starred in BBC One’s Strictly Come Dancing with dance partner Katya Jones last year, becoming the eighth pair to be voted out of the competition.
He is now taking part in the series tour across the UK, with the last of the 30 performances scheduled for 9 February.
The presenter did not dance during Saturday’s show in Glasgow because of an ankle injury, though he did sing.
But a representative for Evans confirmed he will continue to take part in the tour, including the show on Monday evening in Liverpool.
In a statement issued to BBC News on Sunday, Evans said his language was “inappropriate and unacceptable, for which I sincerely apologise”.
