Torkil Veyhe (born 9 January 1990) is a Faroese road bicycle racer, who currently rides for UCI Professional Continental team Riwal Readynez.
He has also been riding for the national cycling team of the Faroe Islands at the Island Games and in 2016 he rode for the Danish national team at the Danmark Rundt and in 2017 at the European Road Championships in the men's road race.
Earlier he was cycling for the DCU team Team WeBike—CK Aarhus, the Danish club Odder Cykel Klub and the Faroese club Tórshavnar Súkklufelag.
In 2016 he won his first A-race in Denmark and his first UCI points.
He has won gold, silver and bronze at the Island Games for the Faroe Islands.