Sheffield Eagles coach Mark Aston is looking for a major upturn in form as his team approaches the second half of the season.
The Eagles have won only one of their five home games this year and are only four points off the relegation zone.
But Veivers believes the performance his under-strength team produced against the table toppers can kick-start their season.
Workington now face Sheffield, Halifax and Featherstone in their next three games.
Veivers said: “I honestly believe that we’re capable of beating any other team in the competition. I know we’ve a tough June programme, but that performance against Leigh can drive us on.”